Question

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

Answer 1

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.