If fog (x)= lnx^2   and h(x) = \tan x . Also  f(x) = lnx. Then find goh(x) 

Option 1)  \tan x^2

Option 2)  \tan ^2 x

Option 3)  ln \tan x

Option 4)  \tan ln x

 

Answers (1)

As we have learned

Properties of composite function -

The composition of function is associative.

- wherein

\left ( f\! og \right )oh= f\! o\left ( goh \right )

 (fog)oh(x) = fo(goh)(x)

(fog )oh= ln(ln(x^2))ln(\tan x)^{2}= ln (goh(x))

Thus ln (goh(x))= \tan ^2 x

 

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