defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Relations and Functions Domain of a Function
Let \(f: R-\left\{\frac{-1}{2}\right\} \rightarrow R \) and \( g: R-\left\{\frac{-5}{2}\right\} \rightarrow R\) be defined as \(f(x)=\frac{2 x+3}{2 x+1} \) and \( g(x)=\frac{|x|+1}{2 x+5}\) . Then the domain of the function fog is:
1
\( \mathrm{R}-\left\{-\frac{5}{2}\right\} \\\)
2
R
3
\( \mathrm{R}-\left\{-\frac{7}{4}\right\} \\\)
4
\( \mathrm{R}-\left\{-\frac{5}{2},-\frac{7}{4}\right\} \)