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Functions question

2023 · 12 Apr · Shift 1 · Q34

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PYQ Library
JEE Main
Mathematics
Functions
2023 · 12 Apr · Shift 1 · Q34

Functions question

2023 · 12 Apr · Shift 1 · Q34

JEE MainMathematicsFunctionsMCQ+4 / −1

Let

\mathrm{D}

be the domain of the function

f(x)=\sin ^{-1}\left(\log _{3 x}\left(\frac{6+2 \log _{3} x}{-5 x}\right)\right)

. If the range of the function

\mathrm{g}: \mathrm{D} \rightarrow \mathbb{R}

defined by

\mathrm{g}(x)=x-[x],([x]

is the greatest integer function), is

(\alpha, \beta)

, then

\alpha^{2}+\frac{5}{\beta}

is equal to

A
45
B
136
C
46
D
nearly 135

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