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MCQMediumJEE Main 2026 · 28 January, Shift 1Composition & Inverse Functions

Mathematics Question from JEE Main 2026 · 28 January, Shift 1

If g(x)=3x2+2x−3g(x) = 3x^2 + 2x - 3, f(0)=−3f(0) = -3 and 4g(f(x))=3x2−32x+724g(f(x)) = 3x^2 - 32x + 72, then f(g(2))f(g(2)) is equal to:

  • A

    −256-\dfrac{25}{6}

  • B

    −72-\dfrac{7}{2}

  • C

    256\dfrac{25}{6}

  • D

    72\dfrac{7}{2}

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