What is the equation of a rational function with an oblique asymptote at y=x-3 and a vertical asymptote at x=-4

This is what I did so far

f(x) = (x-3)+a/x+4

How do I find out what a is?

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- Jan 3rd 2013, 06:29 PMxoxoFinding Equation of Rational Function
What is the equation of a rational function with an oblique asymptote at y=x-3 and a vertical asymptote at x=-4

This is what I did so far

f(x) = (x-3)+a/x+4

How do I find out what a is? - Jan 3rd 2013, 06:56 PMchiroRe: Finding Equation of Rational Function
Hey xoxo.

What is meant be an oblique asymptote? Also do you have any initial conditions for your function? - Jan 3rd 2013, 07:00 PMMarkFLRe: Finding Equation of Rational Function
The constant a can be any real non-zero value. You have found a family of functions satisfying the given requirements. Unless you are given a point it must pass through, I would just combine terms. If you want to just write one example, I suggest letting a = 12.