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

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Answer 1 · 2015-08-08T01:52:18

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

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

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

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