SOLUTION: I'm quite lost, was wondering if anyone could help me. The function g is defined below g(x)= x+1/x^2+7x-18 Find all values of x that are not in the domain of g. I

Algebra ->  Functions -> SOLUTION: I'm quite lost, was wondering if anyone could help me. The function g is defined below g(x)= x+1/x^2+7x-18 Find all values of x that are not in the domain of g. I      Log On


   

Question 894293: I'm quite lost, was wondering if anyone could help me.
The function g is defined below
g(x)= x+1/x^2+7x-18
Find all values of x that are not in the domain of g.
If there is more than one answer, separate them with commas.
I have no idea what a function or domain actually is and to be perfectly honest, I'm fairly worried I'm in over my head. I appreciate any and all help!
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
I will take a guess that what you really have for g(x) is this:

highlight_green%28g%28x%29=%28x%2B1%29%2F%28x%5E2%2B7x-18%29%29
which in pure text is this:
g(x)=(x+1)/(x^2+7x-18)

You want to determine which values of x are not acceptable for g(x).

The denominator must not be allowed to be zero.
This means g cannot accept any x for which x%5E2%2B7x-18=0.
Factoring gives the equivalent, %28x-2%29%28x%2B9%29=0;
the values that produce this equation are x=2 or x=-9.

g(x) cannot accept the x values of x=2 nor x=-9.