Question

F(x) = 2/x, g (x) = |x| -1

what is the domain of (fog) (x)?

Answer 1

X =/ 0 is the answer for edg 2020

Answer 2

x≠-1,1

Explanation:

f(g(x)) is a composition where g(x) is is substituted for x in f(x).

Recall, f(x) is 2/x. So we write 2/|x|-1. This places x in the denominator and 0 cannot be in the denominator x. Any value of x that makes the denominator 0 will not be in the domain.

|x|-1=0

|x|=1

x=1,-1