Question 154819
Find the horizontal asymptote, if any, of the graph of the rational function. 
g(x) = 	(6x^2)/(2x^2+1)   

-----------------------
As x gets larger and larger g(x) takes on the value of 6x^2/2x^2 
which is 3.

So the horizontal asymptote is y = 3
=======================================
Graph:
{{{graph(400,300,-10,10,-10,10,(6x^2)/(2x^2+1))}}}
===============
Cheers,
Stan H.