Question

question 23
find the horizontal asymptote of $f(x)=\frac{-4x^{7}+x}{3x^{5}-5x^{2}}$ if it has one (if it doesnt, enter dne)
y =
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Explanation:

Step1: Determine the degrees of polynomials

The degree of the numerator $-4x^{7}+x$ is $n = 7$ and the degree of the denominator $3x^{5}-5x^{2}$ is $m = 5$.

Step2: Apply horizontal - asymptote rule

When $n>m$, the horizontal asymptote of the rational function $y = \frac{f(x)}{g(x)}$ (where $f(x)$ and $g(x)$ are polynomials) does not exist.

Answer:

DNE