How to find the given function?

Question

Given: f(x)=5/(x-2) ; g(x) =2x+1

a) Find g(3) and use that number to find (f⚬g)(3).

b) Find (f⚬g)(x) and use that value to find (f⚬g)(3).

Answer 1

Given: f(x) = 5/(x-2) ; g(x) = 2x + 1

 

a)  g(3) = 2(3) + 1 = 7

     (f⚬g)(x) = 5/(g(3)-2) = 5/(7-2) = ___?

 

b)  (f⚬g)(x) = 5/(g(x)-2) = 5/(2x+1-2) = 5/(2x-1)

     (f⚬g)(3) = 5/(2(3)-1) = 5/(6-1) = ___?