okokjade
okokjade okokjade
  • 03-01-2019
  • Mathematics
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f(x) = 2/x, g(x) = |x| -1


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

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MrsStrong
MrsStrong MrsStrong
  • 04-01-2019

Answer:

x≠-1,1

Step-by-step 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

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