SOLUTION: The function g is defined below. g(x)=(x-8)/(x^2-1) Find all values of that are NOT in the domain of g.

Algebra ->  Equations -> SOLUTION: The function g is defined below. g(x)=(x-8)/(x^2-1) Find all values of that are NOT in the domain of g.      Log On


   

Question 746219: The function g is defined below.
g(x)=(x-8)/(x^2-1)
Find all values of that are NOT in the domain of g.
Answer by savvyhush23(50) About Me  (Show Source):
You can put this solution on YOUR website!
The function g is defined below.
g(x)=(x-8)/(x^2-1)
Find all values of x that are NOT in the domain of g.
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g%28x%29=%28x-8%29%2F%28x%5E2-1%29, factor the denominator
g%28x%29=%28x-8%29%2F%28x%2B1%29%28x-1%29, looking at the denominator, the value of x are all numbers except +1 and -1.
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Proof: The the curve doesn't touch the line x=1 and x=-1
graph%28800%2C600%2C-10%2C10%2C-15%2C20%2C%28x-8%29%2F%28x%5E2-1%29%29