# Math Help - A function, find "a" and "b" ?

1. ## A function, find "a" and "b" ?

Consider the function: f(x) = (x+a)/(bx+2)

The curve crosses the point P (0,1/2)

And the line (y=1) is an asymptote.

Find a and b... Help is very much appreciated !!! thank you!!

2. You might not know this, but:

If the degree of the numerator (x+a) and the deniminator (bx+2) are equal, then the asymptote is equal to the ratio of the leading coefficients of the two.

Ask yourself: What is the asymptote's level? It is y=1. Now ask, what are the leading coefficients of x+a and bx+2? How can you express 1 as a ratio of the two coefficients?