SOLUTION: g(x)=x^2+3x-40, f(x)=x^2+5x+6 find all the values of x NOT in the domain of the function g/f

Algebra ->  Functions -> SOLUTION: g(x)=x^2+3x-40, f(x)=x^2+5x+6 find all the values of x NOT in the domain of the function g/f      Log On


   

Question 883388: g(x)=x^2+3x-40,
f(x)=x^2+5x+6
find all the values of x NOT in the domain of the function g/f
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=x%5E2%2B5x%2B6=%28x%2B2%29%28x%2B3%29
g%28x%29=x%5E2%2B3x-40=%28x%2B8%29%28x-5%29
g%28x%29%2Ff%28x%29=%28%28x%2B8%29%28x-5%29%29%2F%28%28x%2B2%29%28x%2B3%29%29
When the denominator goes to zero, the function is undefined.
x%2B2=0
x=-2
and
x%2B3=0
x=-3
These two values are not in the domain.