# How do you find the horizontal asymptote for #(3x-2) / (x+1) #?

##### 1 Answer

Horizontal asymptotes are always trickier than vertical asymptotes.

#### Explanation:

To find the horizontal asymptotes we must look at the highest powers in the numerator and the denominator. The highest powers are both

The horizontal asymptotes is therefore

Verification:

Plug in 3 for y.

So, x has no solution because division by 0 is undefined. This confirms that our horizontal asymptote is at **never** touch this line.

**Practice exercises:**

Find the horizontal asymptote of

**Challenge problem**

By intuition, what do you think would be the horizontal asymptote in