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

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Answer 1 · 2015-12-06T03:46:04

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

1) Horizontal asymptote

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

=================
$x= -34$

2) Horizontal asymptote
Is the ratio of the leading term of the numerator and denominator when the degree are the same
$y= (13x)/x$

$y= 13$

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

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