Question

If f(x)=x+7 and g(x)=1}{x - 13} " alt=" \frac{1}{x - 13} " align="absmiddle" class="latex-formula">
, what is the domain of (fog)(x)?

Answer 1

Hi,

$f(x)=x+7\\ g(x)= \dfrac{1}{x-13} \\ (fog)(x)=f(g(x))=f(\dfrac{1}{x-13})=\dfrac{1}{x-13}+7$
Domain of (fog)(x) is R \ {13} =(-oo 13[ U ]13 +oo)