4D 4.7 Inverses

Front

The inverse of the function f(x) is written as ...

Back

f^{-1}(x)

Front

Find the inverse of f(x) = -4x - 12

Back

f^{-1}(x) = -1/4x - 3

Front

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

Back

False

Front

Find the inverse of f(x) = x^2 - 5

Back

f^{-1}(x) = √(x + 5)

Front

The inverse of the graph shown is a function?

Back

False

Front

What is the definition of an inverse function?

Back

An inverse function reverses the operation of the original function.

Front

If f(x) = 2x + 3, what is f^{-1}(x)?

Back

f^{-1}(x) = (x - 3)/2

Front

What is the relationship between a function and its inverse?

Back

If f(x) takes an input x to an output y, then f^{-1}(y) takes y back to x.

Front

How do you find the inverse of a function algebraically?

Back

1. Replace f(x) with y. 2. Swap x and y. 3. Solve for y. 4. Replace y with f^{-1}(x).

Front

What is the domain of the inverse function if the original function has a range of [0, ∞)?

Back

The domain of the inverse function is [0, ∞).