Inverse Functions

Front

If f^-1(-25) = 7, what is f(7)?

Back

-25

Front

What does it mean to find the inverse of a function?

Back

The x's and y's are switched.

Front

Find the inverse of the function f(x) = 3x - 5.

Back

f^-1(x) = (x + 5) / 3.

Front

In an inverse function, the _____ and _______ are switched from the original.

Back

Input and output.

Front

If the domain of f(x) is x ≥ 4, then the ____ of ____ is y ≥ 4.

Back

Range, f^-1(x).

Front

What is the definition of an inverse function?

Back

A function that reverses the effect 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 the domain of a function and the range of its inverse?

Back

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

Front

How do you verify if two functions are inverses of each other?

Back

If f(f^-1(x)) = x and f^-1(f(x)) = x.

Front

What is the graphical representation of inverse functions?

Back

They are reflections over the line y = x.