Question

Consider the function f(x) = ax+3 over x-b.
Find a and b given that y=f(x) has asymptotes with equations x = -1 and y = 2.

Answer 1

so at x = -1, the equation goes to infinity. that means the denominator goes to zero.
x - b = 0
-1 - b = 0
b = -1
the limit as x approaches infinity is y=2. since the "3" and the "b" become meaningless at x = inf, we're left with:
ax / x = 2
a = 2
the graph of this equation is: http://bit.ly/qrWgCB

Answer 2

Thanks!