3. Functions

Find a. (fog) (x) b. (go f) (x) f(x)=4x-3, g(x) = 5x² - 2

Find a. (fog) (2) b. (go f) (2) f(x) = 4-x, g(x) = 2x² +x+5

Find a. (fog) (x) b. (go f) (x) c. (fog) (2) d. (go f) (2).

f(x) = 1/x, g(x)= 1/x

Express the given function h as a composition of two functions ƒ and g so that h(x) = (fog) (x).

h(x) = (3x − 1)⁴

Use the graphs of f and g to solve Exercises 83–90.

Find (g-f) (-2).

Use the graphs of f and g to solve Exercises 83–90.

Graph f+g.

Use the graphs of f and g to solve Exercises 83–90.

Graph f-g.

Find $f+g$, $f-g$, $fg$, and $\frac{f}{g}$. Determine the domain for each function.

$f\left(x\right)=6x^2-x-1$, $g\left(x\right)=x-1$

Find $f+g$, $f-g$, $fg$, and $\frac{f}{g}$. Determine the domain for each function.

$f\left(x\right)=5-x^2$, $g\left(x\right)=x^2+4x-12$

Find $f+g$, $f-g$, $fg$, and $\frac{f}{g}$. Determine the domain for each function.

$f\left(x\right)=\sqrt{x}$, $g\left(x\right)=x-5$

Find $f+g$, $f-g$, $fg$, and $\frac{f}{g}$. Determine the domain for each function.

$f\left(x\right)=6-\frac{1}{x}$, $g\left(x\right)=\frac{1}{x}$

In Exercises 82–84, find f + g, f - g, fg, and f/g. Determine the domain for each function. f(x) = 3x - 1, g(x) = x - 5

In Exercises 82–84, find f + g, f - g, fg, and f/g. Determine the domain for each function. f(x) = √(x + 7), g(x) = √(x - 2)

Let ƒ(x)=x^2+3 and g(x)=-2x+6. Find each of the following. See Example 1. (ƒg)(4)

Find ƒ+g, f−g, fg, and f/g. Determine the domain for each function. f(x)= = (3x+1)/(x² - 25), g(x) = (2x -4)/(x² - 25)