Q27Multiple correct5 Marks6 Aug 2023Consider the functions f(x)=logx2f(x)=\log x^2f(x)=logx2 and g(x)=2x+1g(x)=2x+1g(x)=2x+1. Which of the following options is/are true?AThe domain of (f∘g)(x)(f\circ g)(x)(f∘g)(x) is R∖{−12}\mathbb{R}\setminus\{-\frac{1}{2}\}R∖{−21}.B(f∘g)(x)=log(2x+1)(f\circ g)(x)=\log(2x+1)(f∘g)(x)=log(2x+1).CThe domain of (g∘f)(x)(g\circ f)(x)(g∘f)(x) is R∖{−12}\mathbb{R}\setminus\{-\frac{1}{2}\}R∖{−21}.D(g∘f)(x)=2logx2+1(g\circ f)(x)=2\log x^2+1(g∘f)(x)=2logx2+1.EThe domain of (g∘f)(x)(g\circ f)(x)(g∘f)(x) is R∖{0}\mathbb{R}\setminus\{0\}R∖{0}.
