The function of g is defined below. Find all values of that are NOT in the domain of g.

Question

g(x)=x-2/x^2-9

If there is more than one value, separate them with commas.

Answer 1

I assume you meant to say

g(x) = (x - 2)/(x² - 9)

(Please group things in parentheses.) The denominator must not be zero.

x² - 9 = (x - 3)(x + 3)

Both 3 and -3 make the denominator zero, so these values cannot be in the domain. You are correct.