3. Functions

In Exercises 101–102, find an equation for f^(-1)(x). Then graph f and f^(-1) in the same rectangular coordinate system. f(x) = 1 - x^2, x ≥ 0.

Which graphs in Exercises 96–99 represent functions that have inverse functions?

The functions in Exercises 93–95 are all one-to-one. For each function, (a) find an equation for f^(-1)x, the inverse function. (b) Verify that your equation is correct by showing that f(f^(-1)(x)) = x and f^(-1)(f(x)) = x. f(x) = (x - 7)/(x + 2)

The functions in Exercises 93–95 are all one-to-one. For each function, (a) find an equation for f^(-1)x, the inverse function. (b) Verify that your equation is correct by showing that f(f^(-1)(x)) = x and f^(-1)(f(x)) = x. f(x) = 4x - 3

Graph the inverse of each one-to-one function.

Graph the inverse of each one-to-one function.

Graph the inverse of each one-to-one function.

Graph the inverse of each one-to-one function.

Graph the inverse of each one-to-one function.

Determine whether each function graphed or defined is one-to-one.

Determine whether each function graphed or defined is one-to-one.

Determine whether each function graphed or defined is one-to-one.

Determine whether each function graphed or defined is one-to-one. y = 2x - 8

Use a graphing calculator to graph each equation in the standard viewing window. y = 3x + 4

Determine whether each function graphed or defined is one-to-one. y = -√100 - x^2