Posted by luke on .
A rational function that passes through (0,0) and (4, 8/7) has the x-axis as a horiztonal asympotote. It also has 2 vertical asymptotes x=3, x=-3.
I understand that to set it up, it is
y= ax+b / (x+3)(x-3).
I don't understand how to solve for a and b.
Put in the points. You have two points, and two unknowns.
0= 0+b / (0+3)(0-3).
Solving this easy: b is zero.
Now that you have b, next point
y= ax / (x+3)(x-3). ( 8/7, 8/7)
8/7= a 4
solve for a.
thank you so much for your help