Inverses

Front

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

Back

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

Front

What is the inverse of the function f(x) = 2x + 16?

Back

f^{-1}(x) = 2x - 16

Front

If the domain of a function is All Real Numbers, what does that imply about the inverse?

Back

The range of the inverse is All Real Numbers.

Front

If f(x) passes through the points (1, 4) and (4, 6), what points does f^{-1}(x) pass through?

Back

(4, 1) and (6, 4)

Front

Find the inverse of f(x) = x^2 - 4.

Back

f^{-1}(x) = \sqrt{x + 4}

Front

What is the definition of an inverse function?

Back

An inverse function reverses the operation of the original function.

Front

How do you find the inverse of a linear function?

Back

Swap x and y, then solve for y.

Front

What is the relationship between the domain of a function and the range of its inverse?

Back

The domain of the inverse is the range of the original function.

Front

What is the inverse of f(x) = 3x + 5?

Back

f^{-1}(x) = \frac{x - 5}{3}

Front

What is the inverse of f(x) = -2x + 1?

Back

f^{-1}(x) = \frac{1 - x}{2}