Q15Multiple correct4 Marks24 Mar 2024Choose the correct option(s) from the following.AIf ggg is an even function, then f∘gf\circ gf∘g is always an even function.BIf fff is an invertible increasing function, then f−1f^{-1}f−1 is a decreasing function.CThe function f:N→Nf:\mathbb{N}\to\mathbb{N}f:N→N given by f(0)=f(1)=f(2)=1f(0)=f(1)=f(2)=1f(0)=f(1)=f(2)=1 and f(x)=x−1f(x)=x-1f(x)=x−1 for x≥3x\ge3x≥3 is onto but not one-one.DThere exists a function ggg which is not one-one and a function fff which is one-one such that f∘gf\circ gf∘g is one-one.
