Consider the following functions. f(x)=x/x+7, g(x) = 2x-7. Find (g o g)(x) and the domain in interval notation

Question

Consider the following functions.

f(x)=x/x+7, g(x) = 2x-7

Find (g o g)(x):

Find the domain of (g o g)(x) in interval notation:

Answer 1

g(g(x)) = 2g(x) - 7 = 2(2x - 7) - 7 = 4x - 21;

Domain of g(x) is (-∞, ∞) and because domain of composite function also (-∞,∞)