Fill in the Blank 20 points Write the equation of the horizontal asymptote for the function f(x)=(3x^2-6x+1)/(x^2)+5 Be sure you write an equation, not just a number. If there is no horizontal asymptote, type the letters DNE. typeyouranswer

To find the horizontal asymptote of the function , we need to compare the degrees of the numerator and denominator.Step 1: Compare the degrees of the numerator and denominator.The degree of the numerator is 2 (since the highest power of x is 2), and the degree of the denominator is also 2.Step 2: Determine the horizontal asymptote.Since the degrees of the numerator and denominator are the same, the horizontal asymptote is given by the ratio of the leading coefficients.The leading coefficient of the numerator is 3, and the leading coefficient of the denominator is 1.Therefore, the equation of the horizontal asymptote is .Answer: