IIT JEE , AIEEE Forum - Mathematics , Algebra

deep01

The domain of f(x)=^{[ ]}

log_0.4 (x-1/x+5)*1/(x²-36)?????

pls also explain ur answer

priyesh

hi deep

see first condition (x-1/x+5)*1/(x²-36) >0 (as the expression is within log)

second condition log_0.4 (x-1/x+5)*1/(x²-36) >=0 (as this expression is within root)

this implies (x-1/x+5)*1/(x²-36) <=1

therefore from both the two conditions (x-1/x+5)*1/(x²-36) >0 & <=1

solve the inequalities two get the answer