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

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Answer 1 · 2017-01-06T05:54:10

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

This is a composition of functions

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

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

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

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

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

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