Question

If the graph of y = (ax - b)/(x - c) has a horizontal asymptote y=5 and a vertical asymptote x = − 2 , then b cannot be equal to what?

Answer 1

the vertical asymptote at x = -2 means that (x+2)=0 but (ax-b) is not 0.

the horizontal asymptote at y=5 means that a=5,so we have 5x-b is not zero at x = -2.

5(-2)+b not zero means b cannot be 10.

Answer 2

Wouldn't it be -10?

Answer 3

it would be -10