Give an example of a rational function that has a horizontal asymptote of y = 2/9.

Question

anonymous · Answer

y = 1/x has a horizontal asymptote of y = 0. Shift that up by 2/9: $$ \boxed {y = \dfrac {1}{x} + \dfrac {2}{9}}. $$

anonymous · Answer

so thatd be the answer.. the y=1/x+2/9

anonymous · Answer

??

anonymous · Answer

make the degree of the numerator equal to the degree of the denominator
make the leading coefficient of the numerator 2 and the leading coefficient of the denominator 9

anonymous · Answer

wait.. what? im sorry i just got myself all confused

anonymous · Answer

@Ahaanomegas  had a good answer
if you add this up you get 
$$f(x)=\frac{2x+9}{9x}$$ but anything similar would do
for example 
$$f(x)=\frac{2x-10}{9x+17}$$ or 
$$f(x)=\frac{2x^2+3x+1}{9x^2+5x-1}$$ or anything where the degrees are the same and the leading coefficient of the numerator is 2 and the leading coefficient of the denominator is 9

anonymous · Answer

so either of those i could put for the answeR?

anonymous · Answer

??