01:50Finding the Domain of a Rational Function / Fraction with Variable in DenominatorpatrickJMT290views1rank
05:22Finding Domain of Functions Involving Radicals (Square Roots to be More Precise!) - Example 2patrickJMT320views
Multiple ChoiceState the inputs and outputs of the following relation. Is it a function? {(−3,5),(0,2),(3,5)\left(-3,5\right),\left(0,2\right),\left(3,5\right)(−3,5),(0,2),(3,5)}137views3rankHas a video solution.
Multiple ChoiceState the inputs and outputs of the following relation. Is it a function? {(2,5),(0,2),(2,9)\left(2,5\right),\left(0,2\right),\left(2,9\right)(2,5),(0,2),(2,9)}134views7rankHas a video solution.
Multiple ChoiceIs the equation y=−2x+10y=-2x+10y=−2x+10 a function? If so, rewrite it in function notation and evaluate at f(3)f\left(3\right)f(3).106views1rankHas a video solution.
Multiple ChoiceIs the equation y2+2x=10y^2+2x=10y2+2x=10 a function? If so, rewrite it in function notation and evaluate at f(−1)f\left(-1\right)f(−1).109views4rankHas a video solution.
Multiple ChoiceFind the domain and range of the following graph (write your answer using interval notation).714views1rank2commentsHas a video solution.
Multiple ChoiceFind the domain of f(x)=x+4f\left(x\right)=\sqrt{x+4}f(x)=x+4 . Express your answer using interval notation.137views3rankHas a video solution.
Multiple ChoiceFind the domain of f(x)=1x2−5x+6f\left(x\right)=\frac{1}{x^2-5x+6}f(x)=x2−5x+61 . Express your answer using interval notation.119viewsHas a video solution.
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x)=3(x-4)391viewsHas 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)82viewsHas 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)112viewsHas a video solution.
Textbook QuestionIn Exercises 1–30, find the domain of each function. g(x) = 3/(x^2-2x-15)329viewsHas a video solution.
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x) = 1/(x+7) + 3/(x-9)128viewsHas 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)(-5)129viewsHas 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)(4)93viewsHas a video solution.
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x) = √(x - 3)130viewsHas 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)(5)86viewsHas a video solution.
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x) = 1/√(x - 3)89viewsHas a video solution.
Textbook QuestionFor the pair of functions defined, find (ƒ-g)(x).Give the domain of each. See Example 2. ƒ(x)=3x+4, g(x)=2x-697viewsHas 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+3128viewsHas a video solution.
Textbook QuestionFor the pair of functions defined, find (ƒg)(x). Give the domain of each. See Example 2. ƒ(x)=2x^2-3x, g(x)=x^2-x+395viewsHas a video solution.
Textbook QuestionFor the pair of functions defined, find (ƒ-g)(x).Give the domain of each. See Example 2. ƒ(x)=√(4x-1), g(x)=1/x104viewsHas a video solution.
Textbook QuestionIn Exercises 1–30, find the domain of each function. g(x) = √(x −2)/(x-5)101viewsHas a video solution.
Textbook QuestionIn Exercises 1–30, find the domain of each function. f(x) = (2x+7)/(x^3 - 5x^2 - 4x+20)95viewsHas 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 − 1117viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find f/g and determine the domain for each function. f(x) = x -5, g(x) = 3x²143viewsHas a video solution.
Textbook QuestionUse the graph to evaluate each expression. See Example 3(a). (ƒ-g)(1) 108viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x) = x -5, g(x) = 3x²201viewsHas a video solution.
Textbook QuestionUse the graph to evaluate each expression. See Example 3(a). (ƒg)(1) 71viewsHas 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 − 17244viewsHas 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 − 16100viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 15110viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = √x, g(x) = x − 4112viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find f/g and determine the domain for each function. f(x) = √x, g(x) = x − 4128viewsHas 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/x95viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find fg and determine the domain for each function. f(x)= = (5x+1)/(x² - 9), g(x) = (4x -2)/(x² - 9)154viewsHas 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)114viewsHas 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)=6x+294viewsHas 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)155viewsHas 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)169viewsHas a video solution.
Textbook QuestionIn Exercises 31–50, find ƒ+g and determine the domain for each function. f(x) = √(x +4), g(x) = √(x − 1)139viewsHas 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)171viewsHas 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)121viewsHas 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^295viewsHas 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^290viewsHas 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+1104viewsHas a video solution.
Textbook QuestionIn Exercises 51–66, find a. (fog) (2) b. (go f) (2) f(x)=4x-3, g(x) = 5x² - 298viewsHas a video solution.
Textbook QuestionLet ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (ƒ∘g)(4)95viewsHas a video solution.
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x) f(x) = x²+2, g(x) = x² – 289viewsHas a video solution.
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x) f(x) = 4-x, g(x) = 2x² +x+5154viewsHas 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. (fog) (0)114viewsHas a video solution.
Textbook QuestionIn Exercises 51–66, find a. (fog) (x) b. (go f) (x). f(x) = √x, g(x) = x − 1120viewsHas a video solution.
Textbook QuestionLet ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (ƒ∘ƒ)(2)98viewsHas 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)])105viewsHas a video solution.
Textbook QuestionIn Exercises 67-74, find a. (fog) (x) b. the domain of f o g. f(x) = 2/(x+3), g(x) = 1/x238viewsHas a video solution.
Textbook QuestionIn Exercises 67-74, find a. (fog) (x) b. the domain of f o g. f(x) = x/(x+1), g(x) = 4/x262viewsHas a video solution.
Textbook QuestionGiven functions f and g, find (a)(ƒ∘g)(x) and its domain. See Examples 6 and 7. ƒ(x)=-6x+9, g(x)=5x+7359viewsHas a video solution.
Textbook QuestionGiven functions f and g, find (b)(g∘ƒ)(x) and its domain. See Examples 6 and 7. ƒ(x)=8x+12, g(x)=3x-1157viewsHas 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, g(x)=x+3128viewsHas 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) = ∛(x² – 9)127viewsHas a video solution.
Textbook QuestionIn Exercises 76–81, find the domain of each function. g(x) = 4/(x - 7)112viewsHas 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+2, g(x)=x^4+x^2-4172viewsHas 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) = |2x-5|136viewsHas 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+1222viewsHas a video solution.
Textbook QuestionGiven functions f and g, find (a)(ƒ∘g)(x) and its domain. See Examples 6 and 7. ƒ(x)=2/x, g(x)=x+1482viewsHas 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, g(x)=1/(x+5)97viewsHas a video solution.
Textbook QuestionUse the graphs of f and g to solve Exercises 83–90. Find (fg) (2).111viewsHas a video solution.
Textbook QuestionUse the graphs of f and g to solve Exercises 83–90. Find(g/f)(3)148viewsHas a video solution.
Textbook QuestionIn Exercises 89–90, express the given function h as a composition of two functions f and g so that h(x) = (f ○ g)(x). h(x) = (x^2 + 2x - 1)^4459viewsHas a video solution.
Textbook QuestionUse the graphs of f and g to solve Exercises 83–90. Graph f-g.289viewsHas a video solution.
Textbook QuestionIn Exercises 91–94, use the graphs of f and g to evaluate each composite function. (fog) (-1)181viewsHas a video solution.
Textbook QuestionLet ƒ(x) = 3x^2 - 4 and g(x) = x^2 - 3x -4. Find each of the following. (f+g)(2k)183viewsHas a video solution.
Textbook QuestionLet ƒ(x) = √(x-2) and g(x) = x^2. Find each of the following, if possible. (ƒ ○ g)(x)110viewsHas a video solution.
Textbook QuestionLet ƒ(x) = √(x-2) and g(x) = x^2. Find each of the following, if possible. (f ○ g)(-6)97viewsHas a video solution.
Textbook QuestionUse the table to evaluate each expression, if possible. (f-g)(3)139viewsHas a video solution.
Textbook QuestionThe graphs of two functions ƒ and g are shown in the figures. Find (g∘ƒ)(3).98viewsHas a video solution.