SOLUTION: What are the discontinuities of the function f(x)=(x^2+2x-24)/(6x+24)? Trying to help my son...I have never seen anything like this before. Can anyone help me?

Algebra ->  Rational-functions -> SOLUTION: What are the discontinuities of the function f(x)=(x^2+2x-24)/(6x+24)? Trying to help my son...I have never seen anything like this before. Can anyone help me?      Log On


   

Question 882929: What are the discontinuities of the function f(x)=(x^2+2x-24)/(6x+24)? Trying to help my son...I have never seen anything like this before.
Can anyone help me?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Factor both the numerator and denominator first.
f%28x%29=%28x%5E2%2B2x-24%29%2F%286x%2B24%29
f%28x%29=%28%28x%2B6%29%28x-4%29%29%2F%286%28x%2B4%29%29
Discontinuities occur in rational functions when the denominator goes to zero since division by zero is undefined.
In this case,
x%2B4=0
x=-4
There is a discontinuity at x=-4.