Question

f(x)=1x−2 and g(x)=x−7x+3. For each function h given below, find a formula for h(x) and the domain of h. Use interval notation for entering the domains.

a) h(x)=(f∘g)(x). h(x) = Domain =

b) h(x)=(g∘f)(x). h(x) = Domain =

c) h(x)=(f∘f)(x). h(x) = Domain =

d) h(x)=(g∘g)(x). h(x) = Domain =

Answer 1

I have provided a detailed solution based on the what is mentioned in your question : f(x) = x-2 and g(x) = x-7x+3  

However, I believe that the g(x) might be x^2- 7x +2. To cover that possibility, I am solving one part of the question assuming g(x) to be this function. I aim to provide you with a clear method, so that you can tackle similar problems on these lines easily. Hope this helps.