Give an example of a rational function that has a horizontal asymptote at y = 1 and a vertical asymptote at
x = 4.

Question

Give an example of a rational function that has a horizontal asymptote at y = 1 and a vertical asymptote at
x = 4.

imstuck · Answer

$$\frac{ x+1 }{ x-4 }$$That's the simplest one I can come up with.

anonymous · Answer

Thank you. I was just really stuck on it and wouldn't even come up with that.

imstuck · Answer

When the hor. asymp is a "y = something other than 0" line, that means that the degree of the numerator is the same as the degree of the denominator and the coeffficient on the x in the numerator is the same as the coefficient of the x in the denominator.  I made them both x to the first degree, just for ease.  Andd of course the vertical asymptote is where the denominator = 0, which is 4.

imstuck · Answer

You're welcome!  TY for the medal!