Multiple ChoiceGiven the functions f(x)=x+4f\left(x\right)=\sqrt{x+4}f(x)=x+4 and g(x)=(x−2)2−4g\left(x\right)=\left(x-2\right)^2-4g(x)=(x−2)2−4 find (f∘g)(x)\left(f\circ g\right)\left(x\right)(f∘g)(x) and (g∘f)(x)\left(g\circ f\right)\left(x\right)(g∘f)(x)133views1rank1commentsHas a video solution.
Multiple ChoiceGiven the functions f(x)=1x2−2f(x)=\frac{1}{x^2-2}f(x)=x2−21 and g(x)=x+2g(x)=\sqrt{x+2}g(x)=x+2 find (f∘g)(x)(f∘g)(x)(f∘g)(x) and (g∘f)(x)(g\circ f)(x)(g∘f)(x).132viewsHas a video solution.
Multiple ChoiceGiven the functions f(x)=x+3f(x)=x+3f(x)=x+3 and g(x)=x2g(x)= x^2g(x)=x2 find (f∘g)(2)(f∘g)(2)(f∘g)(2) and (g∘f)(2)(g∘f)(2)(g∘f)(2).119viewsHas a video solution.
Multiple ChoiceGiven the functions f(x)=x2f(x) = x^2f(x)=x2 and g(x)=x−8g(x)=\sqrt{x-8}g(x)=x−8 find (f∘g)(x)(f∘g)(x)(f∘g)(x) and determine its domain.130viewsHas a video solution.
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x)=-2(x+5)137viewsHas a video solution.
Textbook QuestionIn Exercises 1–30, find the domain of each function. g(x) = 3/(x-4)134viewsHas a video solution.
Textbook QuestionWithout using paper and pencil, evaluate each expression given the following functions. ƒ(x)=x+1 and g(x)=x^2 (ƒg)(2)130viewsHas a video solution.
Textbook QuestionIn Exercises 1–30, find the domain of each function. g(x) = 2/(x+5)166viewsHas a video solution.
Textbook QuestionWithout using paper and pencil, evaluate each expression given the following functions. ƒ(x)=x+1 and g(x)=x^2 (ƒ∘g)(2)175viewsHas a video solution.
Textbook QuestionWithout using paper and pencil, evaluate each expression given the following functions. ƒ(x)=x+1 and g(x)=x^2 (g∘ƒ)(2)274viewsHas a video solution.
Textbook QuestionLet ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ+g)(3)139viewsHas a video solution.
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x) = 1/(x^2+1) - 1/(x^2-1)175viewsHas a video solution.
Textbook QuestionIn Exercises 1–30, find the domain of each function. h(x) = 4/(3/x - 1)180viewsHas a video solution.
Textbook QuestionLet ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒg)(-3)153viewsHas a video solution.
Textbook QuestionLet ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒ/g)(-1)178viewsHas a video solution.
Textbook QuestionFor the pair of functions defined, find (f/g)(x).Give the domain of each. See Example 2. ƒ(x)=3x+4, g(x)=2x-8159viewsHas a video solution.
Textbook QuestionFor the pair of functions defined, find (ƒg)(x).Give the domain of each. See Example 2. ƒ(x)=3x+4, g(x)=2x-7151viewsHas a video solution.
Textbook QuestionFor the pair of functions defined, find (ƒ/g)(x). Give the domain of each. See Example 2. ƒ(x)=2x^2-3x, g(x)=x^2-x+3147viewsHas a video solution.
Textbook QuestionFor the pair of functions defined, find (ƒ-g)(x). Give the domain of each. See Example 2. ƒ(x)=2x^2-3x, g(x)=x^2-x+3158viewsHas a video solution.
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x) = √(5x+35)168viewsHas a video solution.
Textbook QuestionFor the pair of functions defined, find (f/g)(x).Give the domain of each. See Example 2. ƒ(x)=√(4x-1), g(x)=1/x144viewsHas a video solution.
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x) = √(24 - 2x)238viewsHas a video solution.
Textbook QuestionFor the pair of functions defined, find (ƒg)(x). Give the domain of each. See Example 2. ƒ(x)=√(4x-1), g(x)=1/x130viewsHas a video solution.
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x) = (2x+7)/(x^3 - 5x^2 - 4x+20)163viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find f/g and determine the domain for each function. f(x) = 2x + 3, g(x) = x − 1182viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x) = 2x + 3, g(x) = x − 1179viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = 2x + 3, g(x) = x − 1231viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = x -5, g(x) = 3x²169viewsHas a video solution.
Textbook QuestionUse the graph to evaluate each expression. See Example 3(a). (ƒ/g)(1) 126viewsHas a video solution.
Textbook QuestionUse the graph to evaluate each expression. See Example 3(a). (ƒg)(0) 374viewsHas a video solution.
Textbook QuestionUse the graph to evaluate each expression. See Example 3(a). (ƒ+g)(0) 142viewsHas a video solution.
Textbook QuestionUse the graph to evaluate each expression. See Example 3(a). (ƒ/g)(2) 264viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = 2x² − x − 3, g (x) = x + 1144viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x) = 2x² − x − 3, g (x) = x + 1192viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find f−g and determine the domain for each function. f(x) = 2x² − x − 3, g (x) = x + 1193viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find f/g and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 18192viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 17324viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x) = √x, g(x) = x − 4158viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find f−g and determine the domain for each function. f(x) = √x, g(x) = x − 4157viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x) = 2 + 1/x, g(x) = 1/x152viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = 2 + 1/x, g(x) = 1/x161viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x)= = (5x+1)/(x² - 9), g(x) = (4x -2)/(x² - 9)150viewsHas a video solution.
Textbook QuestionFor each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4. ƒ(x)=2-x150viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find f/g and determine the domain for each function. f(x)= = (5x+1)/(x² - 9), g(x) = (4x -2)/(x² - 9)349viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x)= = 8x/(x - 2), g(x) = 6/(x+3)146viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find f−g and determine the domain for each function. f(x)= = 8x/(x - 2), g(x) = 6/(x+3)140viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find f/g and determine the domain for each function. f(x) = √(x +4), g(x) = √(x − 1)145viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x) = √(x +4), g(x) = √(x − 1)143viewsHas a video solution.
Textbook QuestionFor each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4. ƒ(x)=-2x+5149viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find ƒ+g, f−g, fg, and f/g. Determine the domain for each function. f(x) = √(x -2), g(x) = √(2-x)151viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find ƒ+g, f−g, fg, and f/g. Determine the domain for each function. f(x) = √(x -2), g(x) = √(2-x)214viewsHas a video solution.
Textbook QuestionFor each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4. ƒ(x)=1/x150viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find ƒ+g, f−g, fg, and f/g. Determine the domain for each function. f(x) = √(x -2), g(x) = √(2-x)237viewsHas a video solution.
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x) c. (fog) (2) d. (go f) (2). f(x) = 2x, g(x) = x+7132viewsHas a video solution.
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x) c. (fog) (2) d. (go f) (2). f(x) = x+4, g(x) = 2x + 1183viewsHas a video solution.
Textbook QuestionFor each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4. ƒ(x)=1-x^2136viewsHas a video solution.
Textbook QuestionFor each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4. ƒ(x)=x^2+3x+1168viewsHas a video solution.
Textbook QuestionIn Exercises 51–66, find a. (fog) (2) b. (go f) (2) f(x)=4x-3, g(x) = 5x² - 2154viewsHas a video solution.
Textbook QuestionIn Exercises 51–66, find a. (fog) (2) b. (go f) (2) f(x) = x²+2, g(x) = x² – 2210viewsHas a video solution.
Textbook QuestionLet ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (ƒ∘g)(-2)149viewsHas a video solution.
Textbook QuestionIn Exercises 51–66, find a. (fog) (2) b. (go f) (2) f(x) = 4-x, g(x) = 2x² +x+5164viewsHas a video solution.
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x) f(x) = 4-x, g(x) = 2x² +x+5213viewsHas a video solution.
Textbook QuestionLet ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (g∘ƒ)(0)177viewsHas a video solution.
Textbook QuestionIn Exercises 51–66, find c. (fog) (2) d. (go f) (2). f(x) = √x, g(x) = x − 1222viewsHas a video solution.
Textbook QuestionLet ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (ƒ∘ƒ)(2)167viewsHas a video solution.
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x) c. (fog) (2) d. (go f) (2). f(x) = 2x-3, g(x) = (x+3)/2242viewsHas a video solution.
Textbook QuestionIn Exercises 59-64, let f(x) = 2x - 5 g(x) = 4x - 1 h(x) = x² + x + 2. Evaluate the indicated function without finding an equation for the function. g (f[h (1)])177viewsHas a video solution.
Textbook QuestionIn Exercises 59-64, let f(x) = 2x - 5 g(x) = 4x - 1 h(x) = x² + x + 2. Evaluate the indicated function without finding an equation for the function. f(g[h (1)])146viewsHas a video solution.
Textbook QuestionIn Exercises 67-74, find a. (fog) (x) b. the domain of f o g. f(x) = √x, g(x) = x − 2181viewsHas a video solution.
Textbook QuestionIn Exercises 67-74, find a. (fog) (x) b. the domain of f o g. f(x) = x² + 4, g(x) = √(1 − x)169viewsHas a video solution.
Textbook QuestionGiven functions f and g, (b)(g∘ƒ)(x) and its domain. See Examples 6 and 7. ƒ(x)=-6x+9, g(x)=5x+7166viewsHas a video solution.
Textbook QuestionGiven functions f and g, find (a)(ƒ∘g)(x) and its domain. See Examples 6 and 7. ƒ(x)=8x+12, g(x)=3x-1195viewsHas a video solution.
Textbook QuestionIn Exercises 75-82, express the given function h as a composition of two functions ƒ and g so that h(x) = (fog) (x). h(x) = (3x − 1)^4238viewsHas a video solution.
Textbook QuestionGiven functions f and g, find (a)(ƒ∘g)(x) and its domain. See Examples 6 and 7. ƒ(x)=x^3, g(x)=x^2+3x-1135viewsHas a video solution.
Textbook QuestionGiven functions f and g, (b)(g∘ƒ)(x) and its domain. See Examples 6 and 7. ƒ(x)=x^3, g(x)=x^2+3x-1195viewsHas a video solution.
Textbook QuestionIn Exercises 76–81, find the domain of each function. g(x) = 4/(x - 7)176viewsHas a video solution.
Textbook QuestionGiven functions f and g, find (b)(g∘ƒ)(x) and its domain. See Examples 6 and 7. ƒ(x)=x+2, g(x)=x^4+x^2-4169viewsHas a video solution.
Textbook QuestionGiven functions f and g, find (b)(g∘ƒ)(x) and its domain. See Examples 6 and 7. ƒ(x)=√(x-1), g(x)=3x230viewsHas a video solution.
Textbook QuestionGiven functions f and g, find (a)(ƒ∘g)(x) and its domain. See Examples 6 and 7. ƒ(x)=√(x-1), g(x)=3x149viewsHas a video solution.
Textbook QuestionIn Exercises 76–81, find the domain of each function. f(x) = x/(x^2 + 4x -21)174viewsHas a video solution.
Textbook QuestionIn Exercises 75-82, express the given function h as a composition of two functions ƒ and g so that h(x) = (fog) (x). h(x) = 1/(2x-3)339views1rankHas a video solution.
Textbook QuestionGiven functions f and g, find (b)(g∘ƒ)(x) and its domain. See Examples 6 and 7. ƒ(x)=2/x, g(x)=x+1311viewsHas a video solution.
Textbook QuestionIn Exercises 82–84, find f + g, f - g, fg, and f/g. f(x) = x^2 + x + 1, g(x) = x^2 -1154viewsHas a video solution.
Textbook QuestionGiven functions f and g, find (a)(ƒ∘g)(x) and its domain, and (b)(g∘ƒ)(x) and its domain. See Examples 6 and 7. ƒ(x)=√(x+2), g(x)=-(1/x)150viewsHas a video solution.
Textbook QuestionUse the graphs of f and g to solve Exercises 83–90. Find (f+g)(−3).350viewsHas a video solution.
Textbook QuestionGiven functions f and g, find (a)(ƒ∘g)(x) and its domain, and (b)(g∘ƒ)(x) and its domain. See Examples 6 and 7. ƒ(x)=√(x+2), g(x)=-(1/x)126viewsHas a video solution.
Textbook QuestionUse the graphs of f and g to solve Exercises 83–90. Find (g-f) (-2).228viewsHas a video solution.
Textbook QuestionGiven functions f and g, (b)(g∘ƒ)(x) and its domain. See Examples 6 and 7. ƒ(x)=1/(x-2), g(x)=1/x127viewsHas a video solution.
Textbook QuestionUse the graphs of f and g to solve Exercises 83–90. Find the domain of ƒ + g.234viewsHas a video solution.
Textbook QuestionGiven functions f and g, find (a)(ƒ∘g)(x) and its domain. See Examples 6 and 7. ƒ(x)=1/(x-2), g(x)=1/x137viewsHas a video solution.
Textbook QuestionUse the graphs of f and g to solve Exercises 83–90. Find the domain of ƒ/g.152viewsHas a video solution.
Textbook QuestionIn Exercises 91–94, use the graphs of f and g to evaluate each composite function. (go f) (0)509viewsHas a video solution.
Textbook QuestionIn Exercises 95–96, find all values of x satisfying the given conditions. f(x) = 2x − 5, g(x) = x² − 3x + 8, and (ƒ o g) (x) = 7.424viewsHas a video solution.
Textbook QuestionLet ƒ(x) = 3x^2 - 4 and g(x) = x^2 - 3x -4. Find each of the following. (f/g)(-1)151viewsHas a video solution.
Textbook QuestionLet ƒ(x) = √(x-2) and g(x) = x^2. Find each of the following, if possible. (g ○ ƒ)(x)135viewsHas a video solution.
Textbook QuestionLet ƒ(x) = √(x-2) and g(x) = x^2. Find each of the following, if possible. (g ○ ƒ)(3)138viewsHas a video solution.
Textbook QuestionLet ƒ(x) = √(x-2) and g(x) = x^2. Find each of the following, if possible. the domain of ƒ ○ g143viewsHas a video solution.
Textbook QuestionUse the table to evaluate each expression, if possible. (ƒ+g)(1)163viewsHas a video solution.
Textbook QuestionUse the table to evaluate each expression, if possible. (f-g)(3)207viewsHas a video solution.
Textbook QuestionUse the tables for ƒ and g to evaluate each expression. (g∘ƒ)(-2)140viewsHas a video solution.
Textbook QuestionUse the tables for ƒ and g to evaluate each expression. (ƒ∘g)(3)178viewsHas a video solution.