Question

If `f(x)= 1/x` and `g(x) = 1/x`, what is `f'(g(x))`?

Answer 1

`f'(g(x))=1`

Explanation:

As `f(x)=1/x` and `g(x)=1/x`

`f(x)=g(x)`

and `f(g(x))=f(1/x)=1/(1/x)=x`

Hence, `f'(g(x))=(df)/(dg)=1`