Question

If f(x)= x+7 and g(x)= 1/x-13, what is the domain of f(g(x))?

Answer 1

f(g(x)) =1/x-6, D=R/{0}

Explanation:

f(x) =x +7

g(x)=1/x-13

f(g(x))=f(1/x-13)=(1/x-13)+7=1/x-13+7=1/x-6

D=R/{0}