If the domain of the function f(x)=sin⁻¹ ((5-x)/(3+2x))+1/logₑ(10… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 22 January, Shift 1Composition & Inverse Functions

If the domain of the function $f(x)=\sin^{-1}\!\left(\frac{5-x}{3+2x}\right)+\frac{1}{\log_e(10-x)}$ is $(-\infty,\alpha]\cup[\beta,\gamma)-\{\delta\}$ , then $6(\alpha+\beta+\gamma+\delta)$ is equal to](streamdown:incomplete-link)

A
$68$
B
$66$
C
$70$
D
$67$

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