Question

If `f(x)=1/(1+x)` and `g(x)=1/(2+x)` how do you determine f(g(x))?

Answer 1

The answer is `=(2+x)/(3+x)`

Explanation:

This is a composition of functions

`f(x)=1/(1+x)`

`g(x)=1/(2+x)`

`f(g(x))=f(1/(x+2))=1/(1+(1/(2+x)))`

`=1/((2+x+1)/(2+x))`

`=(2+x)/(3+x)`