Let f: R{-1/2} → R and g: R−{−5/2} → R be defined as f(x) = 2x+3 / 2x+1 and

Question

Let \(f:R\{ - \frac 12\} \to R\) and \(g:R-\{ - \frac 52\} \to R\) be defined as \(f(x) = \frac{2x + 3}{2x + 1}\) and \(g(x) = \frac{|x| + 1}{2x + 5}\) then the domain of the function f(g(x)) is

(1) R

(2) \(R - \{ -\frac 52\}\)

(3) \(R - \{ -\frac 12, -\frac 52\}\)

(4) \(R - \{ -\frac 12\}\)

Answer 1

Correct option is (2) \(R - \{ -\frac 52\}\)