3. Functions

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.

Find the domain of each function. f(x) = 1/[4/(x - 1) - 2]

Find ƒ+g and determine the domain for each function. f(x) = 2 + 1/x, g(x) = 1/x

Find ƒ+g and determine the domain for each function.

f(x)= = (5x+1)/(x² - 9), g(x) = (4x -2)/(x² - 9)

Find ƒ+g and determine the domain for each function. f(x)= = 8x/(x - 2), g(x) = 6/(x+3)

Find f−g and determine the domain for each function. f(x) = 2x² − x − 3, g (x) = x + 1

Find fg and determine the domain for each function. f(x) = 2x² − x − 3, g (x) = x + 1

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

Find f/g and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 15

Find f−g and determine the domain for each function. f(x) = √x, g(x) = x − 4