Inverse Functions Review

Front

What is the inverse of the function f(x) = 2x + 4?

Back

f^-1(x) = (x - 4) / 2

Front

The inverse of a function is reflected over which line?

Back

y = x

Front

Are the functions f(x) = x²-3 and g(x) = 2x + 8 inverse functions?

Back

No

Front

When f(x) = x²-3 and g(x) = 2x + 8, find g(f(2)).

Back

10

Front

Is f^-1(x) a function if f(x) = {(3, 7), (4, -2), (5, -1), (8, 7)}?

Back

No

Front

What is the definition of an inverse function?

Back

A function that reverses the effect of the original function.

Front

How do you find the inverse of a function algebraically?

Back

Swap x and y, then solve for y.

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, ∞).

Front

What is the range of the inverse function if the original function has a domain of (-∞, 5)?

Back

The range of the inverse function is (-∞, 5).

Front

If f(x) = 3x - 1, what is f^-1(x)?

Back

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