Question

Which property of inverse functions is represented by \((f^{-1})^{-1}=f\)?

Options

• The inverse of a bijection is not a function.

• The inverse of an inverse function is the original function itself.

• The inverse changes the codomain into the domain only.

• The inverse always equals the identity function.

Answer 1

Taking the inverse reverses a function’s mapping. Applying this reversal twice returns the original function, so \((f^{-1})^{-1}=f\).