Find the equation of the horizontal asymptote of the function f left parenthesis x right parenthesis equals Start Fraction x cubed plus 1 over 5 x squared minus 3 x cubed End Fraction.

Question

(1 point)
Responses

y equals five thirds
Image with alt text: y equals five thirds

y equals negative one third
Image with alt text: y equals negative one third

y = 0
y = 0

y equals Start Fraction 1 over 5 End Fraction
Image with alt text: y equals Start Fraction 1 over 5 End Fraction

Answer 1

The equation of the horizontal asymptote of the function f(x) = (x^3 + 1) / (5x^2 - 3x^3) is:

y = 0