Question 894293
I will take a guess that what you really have for g(x) is this:


{{{highlight_green(g(x)=(x+1)/(x^2+7x-18))}}}
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^2+7x-18=0}}}.
Factoring gives the equivalent, {{{(x-2)(x+9)=0}}};
the values that produce this equation are x=2 or x=-9.


<b>g(x) cannot accept the x values of x=2  nor  x=-9.</b>