3. Functions

Find a. (fog) (x) b. the domain of f o g.

f(x) = x² + 4, g(x) = √(1 − x)

Use the graphs of f and g to evaluate each composite function.

(go f) (0)

Find ƒ+g and determine the domain for each function. f(x) = x -5, g(x) = 3x²

Find the domain of each function. g(x) = 2/(x+5)

Find the domain of each function. f(x) = √(24 - 2x)

Find the domain of each function. h(x) = √(x −2)+ √(x +3)

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

Find

a. (fog) (x)

b. (go f) (x)

c. (fog) (2)

d. (go f) (2).

f(x) = 2x, g(x) = x+7

Find

a. (fog) (x)

b. (go f) (x)

c. (fog) (2)

d. (go f) (2).

f(x) = x+4, g(x) = 2x + 1

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

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)

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

Find (f+g)(−3).

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.

Find the domain of ƒ + g.

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

Find the domain of ƒ/g.