Inverse functions

Front

What is the first step in finding the inverse of a function?

Back

Replace f(x) with y.

Front

What do you do after switching x's and y's when finding an inverse?

Back

Solve for y.

Front

The inverse of a function is reflected over which line?

Back

y = x.

Front

If f(x) passes through (a, b), what points does f^-1(x) pass through?

Back

(b, a).

Front

How do you find the inverse of f(x) = 2x - 2?

Back

f^-1(x) = 1/2x + 1.

Front

What is the inverse of f(x) = -4x - 12?

Back

f^-1(x) = -1/4x - 3.

Front

What is the definition of an inverse function?

Back

A function that reverses the effect of the original function.

Front

What is the notation used for the inverse of a function f(x)?

Back

f^-1(x).

Front

What is the relationship between a function and its inverse?

Back

If (a, b) is on f(x), then (b, a) is on f^-1(x).

Front

What is the domain of f(x) if the range of f^-1(x) is known?

Back

The domain of f(x) is the range of f^-1(x).