# What are the asymptotes for f(x)=[(5x+3)/(2x-3)]+1?

Mar 2, 2018

$\frac{3}{2}$

#### Explanation:

You have to ask yourself: what does X have to be for the function to be dividing by 0?

$2 x - 3 = 0$
$2 x = 3$
$x = \frac{3}{2}$

So when $x$ is $\frac{3}{2}$, The function will contain a divide by zero error, and that is the asymptote. The "$+ 1$" at the end will not affect this, but will to the roots/zeros/x-intercepts.