Question

Which statement expresses that an inverse is unique whenever it exists?

Options

• The inverse is unique only when the function is not bijective.

• A function can have several different inverse functions with the same domain and codomain.

• An inverse is unique whenever it exists.

• Only constant functions have unique inverses.

Answer 1

For an invertible function, the inverse is determined by reversing each input-output pairing. Thus, whenever an inverse exists, there is exactly one inverse function.