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Functions question

2024 · 27 Jan · Shift 2 · Q40

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PYQ Library
JEE Main
Mathematics
Functions
2024 · 27 Jan · Shift 2 · Q40

Functions question

2024 · 27 Jan · Shift 2 · Q40

JEE MainMathematicsFunctionsMCQ+4 / −1

Let

f: \mathbf{R}-\left\{\frac{-1}{2}\right\} \rightarrow \mathbf{R}

and

g: \mathbf{R}-\left\{\frac{-5}{2}\right\} \rightarrow \mathbf{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 :

A
$\mathbf{R}-\left\{-\frac{7}{4}\right\}$
B
$\mathbf{R}$
C
$\mathbf{R}-\left\{-\frac{5}{2},-\frac{7}{4}\right\}$
D
$\mathbf{R}-\left\{-\frac{5}{2}\right\}$

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