MCQMediumJEE Main 2026 · 22 January, Shift 2Functions

Mathematics Question from JEE Main 2026 · 22 January, Shift 2

Let the domain of the function f(x)=log3 ⁣[log5 ⁣(7log2(x210x+85))]+sin1 ⁣(3x717x)f(x)=\log_3\!\left[\log_5\!\left(7-\log_2(x^2-10x+85)\right)\right]+\sin^{-1}\!\left(\left|\frac{3x-7}{17-x}\right|\right) be (α,β](\alpha,\beta]. Then α+β\alpha+\beta is equal to

  • A

    99

  • B

    1212

  • C

    88

  • D

    1010

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