animalsavior94 Group Title find (f o g)(x) find the domain of the composite function: f(x)=13/x+2; g(x)= x-5 3 years ago 3 years ago

1. satellite73 Group Title

$f(g(x))=f(x-5)=\frac{13}{(x-5)+2}=\frac{13}{x-3}$

2. satellite73 Group Title

i just replaced the x in f(x) by x - 5

3. satellite73 Group Title

of course you cannot divide by 0, so the domain is all numbers except where x - 3 = 0 i.e all numbers except x = 3