MathematicsHard110×since 2002Q3846Let D\mathrm{D}D be the domain of the function f(x)=sin−1(log3x(6+2log3x−5x))f(x)=\sin ^{-1}\left(\log _{3 x}\left(\frac{6+2 \log _{3} x}{-5 x}\right)\right)f(x)=sin−1(log3x(−5x6+2log3x)). If the range of the function g:D→R\mathrm{g}: \mathrm{D} \rightarrow \mathbb{R}g:D→R defined by g(x)=x−[x],([x]\mathrm{g}(x)=x-[x],([x]g(x)=x−[x],([x] is the greatest integer function), is (α,β)(\alpha, \beta)(α,β), then α2+5β\alpha^{2}+\frac{5}{\beta}α2+β5 is equal toA45B136C46Dnearly 135Check answerSkip