Question

What is the function \(g\) called when \(g\circ f=I_X\) and \(f\circ g=I_Y\)?

Options

• The inverse of \(f\), denoted as \(f^{-1}\)

• The identity function of \(f\)

• The codomain of \(f\)

• The composition function of \(f\)

Answer 1

The function \(g\) reverses the mapping performed by \(f\). Therefore, it is called the inverse of \(f\) and is denoted by \(f^{-1}\).