What are the asymptotes for #(x-3) / (x-2) #?

1 Answer
Aug 8, 2015

Answer:

There is a vertical asymptote at #color(red)(x=2)# and a horizontal asymptote at #color(red)(y=1)#.

Explanation:

#y=(x-3)/(x-2)#

Step 1. Find the vertical asymptotes.

Set the denominator equal to zero and solve for #x#.

#x-2=0#

#x=2#

There is a vertical asymptote at #x=2#.

Step 2. Find the horizontal asymptotes.

We divide the coefficients of the highest terms.

#1/1=1#

The horizontal asymptote is at #y=1#.

Graph