SOLUTION: Hi, Can you help me with this math problem? For the given function, find all asymptotes of the type indicated, (if there are any) f(x)= x-9 x^2-4 ,vertical

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi, Can you help me with this math problem? For the given function, find all asymptotes of the type indicated, (if there are any) f(x)= x-9 x^2-4 ,vertical       Log On


   

Question 134841: Hi,
Can you help me with this math problem?
For the given function, find all asymptotes of the type indicated, (if there are any)
f(x)=
x-9
x^2-4
,vertical
I didnt know how to draw the line between x-9 abd x^2-4 but The problem is supposed to be f(x) = x-9 over x^2-4 , vertical
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%28x-9%29%2F%28x%5E2-4%29

Vertical asymptotes are vertical lines with the equation x=a where the value of a would make the denominator of the function go to zero.

For this function, x%5E2-4 factors to %28x%2B4%29%28x-4%29, meaning that either 4 or -4 would make the denominator 0. That means that the vertical asymptotes are x=4 and x=-4