# Math Help - Vertical and Horizontal Asymptotes

1. ## Vertical and Horizontal Asymptotes

for the function
$f(x) = \frac {x+5} {2x-4}$
find the vertical and horizontal asymptotes

I know what an asymptote is but I'm not sure how I'm suppose to find it....any help is appreciated!

2. Originally Posted by bearhug
for the function
$f(x) = \frac {x+5} {2x-4}$
find the vertical and horizontal asymptotes

I know what an asymptote is but I'm not sure how I'm suppose to find it....any help is appreciated!

$y = \frac {x+5} {2x-4}$

we can see that 2x-4=0 , ie x=2 makes the function undefined . Thus , it's a vertical asymtote .

Horizontal aymtotes occur when $y=\lim_{x\rightarrow\infty}f(x)$ is finite .

$y=\lim_{x\rightarrow\infty}\frac{\frac{x}{x}+\frac {5}{x}}{\frac{2x}{x}-\frac{4}{x}}$

y=?? will be the horizontal asymtote

3. y=0.5?

4. Originally Posted by bearhug
y=0.5?

yup