Let D be the domain of the function f(x)= \sin ^{-1} (\log _{3 x} (\frac{6+2 \log _3 x}{-5 x}) ). If the range of the function g: D \to R defined by g(x)=x-[x],([x] is the greatest integer function ), is (\alpha, \beta), then \alpha^2+\frac{5}{\beta} is equal to [12-Apr-2023 shift 1]

JEE Mains 12-Apr-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 2 of 90

Marks: +1, -0

Let D be the domain of the function f(x)=sin‌−1(log3x(‌

6+2log3x

−5x

)). If the range of the function g:D→R defined by g(x)=x−[x],([x] is the greatest integer function ), is (α,β), then α2+‌

is equal to

[12-Apr-2023 shift 1]

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