Question

Let f(x) = x – 4 and g(x) =1/x. The graph of (gºf)(x) is shown below.
What is the domain

Answer 1

(g°f)(x)=1/(x-4)

x-4 !=0 (different from 0 because the denominator can never be 0)

=> x!=4

the domain is R \ {4}