MCQMediumJEE Main 2024 · 27 January, Shift 2Composition & Inverse Functions

Mathematics Question from JEE Main 2024 · 27 January, Shift 2

Let f:R−{−1/2}→Rf: \mathbb{R} - \{-1/2\} \to \mathbb{R} and g:R−{−5/2}→Rg: \mathbb{R} - \{-5/2\} \to \mathbb{R} be defined as f(x)=2x+32x+1f(x) = \frac{2x + 3}{2x + 1} and g(x)=∣x∣+12x+5g(x) = \frac{|x| + 1}{2x + 5}. What is the domain of f∘gf \circ g?

  • A

    R−{−5/2}\mathbb{R} - \{-5/2\}

  • B

    R\mathbb{R}

  • C

    R−{−7/4}\mathbb{R} - \{-7/4\}

  • D

    R−{−5/2,−7/4}\mathbb{R} - \{-5/2, -7/4\}

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