JEE Main 202427 Jan, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002Let f:R−{−12}→Rf: \mathbf{R}-\left\{\frac{-1}{2}\right\} \rightarrow \mathbf{R}f:R−{2−1}→R and g:R−{−52}→Rg: \mathbf{R}-\left\{\frac{-5}{2}\right\} \rightarrow \mathbf{R}g:R−{2−5}→R be defined as f(x)=2x+32x+1f(x)=\frac{2 x+3}{2 x+1}f(x)=2x+12x+3 and g(x)=∣x∣+12x+5g(x)=\frac{|x|+1}{2 x+5}g(x)=2x+5∣x∣+1. Then, the domain of the function fog is :AOption A. R−{−74}\mathbf{R}-\left\{-\frac{7}{4}\right\}R−{−47}BOption B. R\mathbf{R}RCOption C. R−{−52,−74}\mathbf{R}-\left\{-\frac{5}{2},-\frac{7}{4}\right\}R−{−25,−47}DOption D. R−{−52}\mathbf{R}-\left\{-\frac{5}{2}\right\}R−{−25}CheckSkip · show solution
