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Question

Mathematics Question on types of functions

Let D be the domain of the function f(x)=sin−1(log3x(6+2log3x5x log_{3 x} (\frac{6+2log_3x}{−5x})) If the range of the function g : D → R defined by g ( x ) = x − [ x ] is the greatest integer function), is ( α , β ) , then α 2 +5β\frac{ 5}{ β} is equal to

A

45

B

46

C

135

D

136

Answer

135

Explanation

Solution

The correct option is(C):135