okokjade
okokjade okokjade
  • 03-01-2019
  • Mathematics
contestada

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

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

WILL MARK BRAINLIEST

Respuesta :

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

Answer Link

Otras preguntas

I need help please I’m confused
Which graph shows all natural numbers less than three?
Which economic idea did Adam Smith promote in The Wealth of Nations? A. Businesses should be free to operate without government regulation. B. Businesses should
The energy radiated per unit surface area (across all wavelengths) for a black body with temperature 2200. Use 5.67 x 10-8 for the Stefan-Boltzmann constant.The
3. [tex] - \sqrt{49} [/tex]find each square root​
Solving by Completing the Square
find the potential energy of a diver of mass 75kg at a height of 10m above a swimming pool g=9.8m​
answer with the appropiate symbol (<,>,=)​
Who is the father of nuclear physics?​
The small object in the picture is an artifact from Anglo-Saxon England. What do you think this object might be? part of a ring part of a sword money a good-l