Answer:
-6, 6
Step-by-step explanation:
So we have the rational function:
[tex]g(x)=\frac{x-5}{x^2-36}[/tex]
The domain of a rational function is all real numbers except for when x is a zero of the denominator.
Thus, to determine the domain restrictions, set the denominator to 0 and solve for x:
[tex]x^2-36=0[/tex]
Add 36 to both sides:
[tex]x^2=36[/tex]
Take the square root of both sides:
[tex]x=\pm 6[/tex]
So, the values that are not in the domain of g is: -6, 6.
And we're done!
