If f(x)=1/x , g(x)=1/x^(2) and h(x)=x^(2...

If `f(x)=1/x , g(x)=1/x^(2)` and `h(x)=x^(2)`, then

A

`fog(x)=x^(2), x != 0 , h(g(x))= (1)/(x^(2))`

B

`h(g(x))= (1)/(x^(2)), x != 0, fog(x)=x^(2)`

C

`fog(x)=x^(2), x != 0, h(g(x))=(g(x))^(2), x != 0`

D

`(fog)(x)=(1)/(x^(2)), x != 0, h(g(x))=g(x), x != 0`

Verified by Experts

The correct Answer is:

C

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