MCQEasyJEE Main 2024 · 31 January, Shift 1Composition & Inverse Functions

Mathematics Question from JEE Main 2024 · 31 January, Shift 1

If f(x)=4x+36x−4f(x) = \frac{4x + 3}{6x - 4}, with x≠23x \ne \frac{2}{3}, and (f∘f)(x)=g(x)(f \circ f)(x) = g(x), where g:R−{23}→R−{23}g: R - \left\{\frac{2}{3}\right\} \to R - \left\{\frac{2}{3}\right\}, then (g∘g∘g)(4)(g \circ g \circ g)(4) is equal to:

  • A

    −1920-\frac{19}{20}

  • B

    1920\frac{19}{20}

  • C

    −4-4

  • D

    44

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