Let \(f : X \to Y\) be an invertible function. Show that \(f\) has unique inverse.

Question

(Hint: suppose  \( g_1 \)and  \(g_2\) are two inverses of \(f\). Then for all \( y \in Y \), \( fog_1(y) = 1 _Y (y) = fog_2 (y). \)   Use ono-one ness of \(f\))