# How do you find all the asymptotes for function f(x) = (13x) / (x+34)?

Dec 6, 2015

Vertical asymptote: $x = - 34$
Horizontal asymptote: $y = 13$

#### Explanation:

1) Horizontal asymptote

Set the denominator equal to 0, and solve for $x$
$x + 34 = 0$
$\text{ "-34" " } - 34$

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$x = - 34$

2) Horizontal asymptote
Is the ratio of the leading term of the numerator and denominator when the degree are the same
$y = \frac{13 x}{x}$

$y = 13$

3) The oblique asymptote doesn't exist, because we have a horizontal asymptote