Let f : R - { - 1 2 } ? R and g : R - { - 5 2 } ? R be defined as f ( x ) = 2 x + 3 2 x + 1 and g ( x ) = | x | + 1 2 x + 5 . Then, the domain of the function f o g is [2024]

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Solution

Q.
Let $f : R - {\frac{- 1}{2}} \to R$ and $g : R - {\frac{- 5}{2}} \to R$ 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 $f o g$ is [2024]

1 $R - {- \frac{5}{2}, - \frac{7}{4}}$

2 $R - {- \frac{7}{4}}$

3 $R$

4 $R - {- \frac{5}{2}}$

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(4)

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