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

Question

1649 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-17T05:21:38

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

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

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