Given functions 𝑓 and 𝑔, construct the composite functions (𝑓∘𝑔)(𝑥) and (𝑔∘𝑓)(𝑥). 𝑓(𝑥)=1/𝑥 𝑔(𝑥)=𝑥^−10. Find the domain of (𝑔∘𝑓) :

Question

Given functions  𝑓  and  𝑔,  construct the composite functions  (𝑓∘𝑔)(𝑥)  and  (𝑔∘𝑓)(𝑥). 𝑓(𝑥)=1/𝑥      𝑔(𝑥)=𝑥^−10. Find the domain of  (𝑔∘𝑓) :

Mark M. · Accepted Answer

f(x) = x-1g(x) = x-10g(f(x)) = (x-1)-10Simplyfy and state the domain.

1 Expert Answer