Let the domain of the function f(x) = cos⁻¹ ( (4x + 5)/(3x - 7))… | JEE Main 2025 Mathematics PYQ

NVAMediumJEE Main 2025 · 8 April, Shift 2Functions

Let the domain of the function $f(x) = \cos^{-1} \left( \frac{4x + 5}{3x - 7} \right)$ be $[\alpha, \beta]$ and the domain of $g(x) = \log_2 \left( 2 - 6 \log_{27} \left( 2x + 5 \right) \right)$ be $(\gamma, \delta)$ . Then $|7(\alpha + \beta) + 4(\gamma + \delta)|$ is equal to:

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