Posted by **ladybug** on Saturday, September 29, 2012 at 11:00pm.

R(x)=x^2+x-6

________

x-3

1. find the domain and y-intercepts

2. find the x-intercepts

3. find the real solution of the equation

4. find the horizontal or oblique asymptotes

5. find the x-axis

6. plot the points

- pre-calculus -
**Reiny**, Sunday, September 30, 2012 at 8:03am
R(x) = (x^2 + x - 6)/(x-3)

= (x+3)(x-2)/(x-3)

1. domain: any real number, x ≠ 3

y-intercept, let x = 0, so y = 2

2. for x-intercepts, let y = 0

x = -3, 2

3. x = -3, y = 2

4. After a synthetic division, I got

R(x) = x+4 + 3/(x-3)

So the oblique asymptote is y = x+4

5. "find the x-axis" ????

6. you have to do that.

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