Determine the horizontal asymptote of the graph of the funct

Determine the horizontal asymptote of the graph of the function. f(x) = 2x^4 + 3/5x^4 - 2 Select the correct choice below and fill in any answer boxes within your choice. A. The horizontal asymptote is y = ________. B. There is no horizontal asymptote.

Solution

f(x) = 2x^4 + 3 / ( 5x^4 - 2 )

when degree of numerator = degree of denominator then horizontal asymptote is given by

leading coefficient of numerator / degree of denominator

y = 2 / 5

option a is correct