Bijectivity Proof for Composite Functions
Let \(f: A \to B\) and \(g: C \to A\) be bijective functions. Prove that the composite function \(f \circ g: C \to B\) is bijective by: (a) Showing that \(f \circ g\) is injective. (b) Demonstrating that \(f \circ g\) is surjective.