Identify the horizontal asymptote of f (x) = quantity x squared plus 5 x minus 3 over quantity 4 x minus 1

We are given with the equation f (x) = (x^2 + 5x - 3) / (4x - 1). The horizontal asymptote tells the value of the function when x approaches a very big number. Substituting, 1 x 10^30, we get the value of 5.541. Likewise, when we substitute - 1x10^-30, the value is - 5.541. Hence the horizontal asymptote is y = 5.541.