Inverse Functions

Front

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

Back

The x's and y's are switched.

Front

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

Back

f⁻¹(x)

Front

What is the FIRST step I need to take to solve for x in the equation x² = 49?

Back

Take the square root of both sides.

Front

The inverse has been reflected over which line?

Back

y = x

Front

Find the inverse of f(x) = 1/4x - 7.

Back

f⁻¹(x) = 4x + 28.

Front

What is 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 a function and its inverse?

Back

If f(a) = b, then f⁻¹(b) = a.

Front

How do you find the inverse of a function algebraically?

Back

Replace f(x) with y, switch x and y, and solve for y.

Front

What is the domain of an inverse function?

Back

The range of the original function.