SOLUTION: State a suitable domain for f(x)= (x+2)/x^2-4

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Question 683295: State a suitable domain for f(x)= (x+2)/x^2-4
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = %28x%2B2%29%2F%28x%5E2-4%29

The denominator cannot equal to 0, so if we set it = 0,
its solution will tell us which values of x are not
part of the domain.

        x² - 4 = 0 
(x - 2)(x + 2) = 0

x = 2,  x = -2.

So the domain cannot contain either of those values of x, but
contains all other values of x, so the domain is

(-oo, -2) U (-2,2) U (2, oo)

Edwin