SOLUTION: If the horizontal asymptote for f(x) = (x-4)/((x^2)-4) is y=0, why is it that when I plug in x=4 I get y=0 as an answer? I don't understand... What did I do wrong?

Algebra ->  Rational-functions -> SOLUTION: If the horizontal asymptote for f(x) = (x-4)/((x^2)-4) is y=0, why is it that when I plug in x=4 I get y=0 as an answer? I don't understand... What did I do wrong?      Log On


   



Question 965974: If the horizontal asymptote for f(x) = (x-4)/((x^2)-4) is y=0, why is it that when I plug in x=4 I get y=0 as an answer? I don't understand... What did I do wrong?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
I had something here which was wrong.


...
Letting x=4,

%284-4%29%2F%284%2A4-4%29
0%2F%2816-4%29
0%2F12
0

x=4 is a ZERO or ROOT of f(x).