1.1 ATD Video Inverses of Functions

What does it mean for two functions to be inverses?

• They add up to zero.

• They undo each other.

• They multiply to one.

• They are equal.

What is the result of the composition of two inverse functions?

• A new function.

• Zero.

• The original input.

• An undefined value.

In the composition F(G(x)), what happens to the input x?

• It goes through the G machine first.

• It remains unchanged.

• It goes through the F machine first.

• It is divided by 2.

What must be true for two functions to be verified as inverses?

• Their compositions must equal zero.

• Their compositions must equal the original input.

• Their compositions must be different.

• Their compositions must be undefined.

What is the result of the composition G(F(x)) if F(x) = (x + 1)/2 and G(x) = 2x - 1?

• x + 1

• 2x - 1

• x - 1

• x