find any horizontal or vertical asymptotes. f(x) = (x^4 + 1)/(x^2 + 2x - 24) select the correct choice below…

find any horizontal or vertical asymptotes. f(x) = (x^4 + 1)/(x^2 + 2x - 24) select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the horizontal asymptotes are y = (use a comma to separate answers as needed.) b. there are no horizontal asymptotes. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the vertical asymptotes are x = (use a comma to separate answers as needed.) b. there are no vertical asymptotes.

find any horizontal or vertical asymptotes. f(x) = (x^4 + 1)/(x^2 + 2x - 24) select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the horizontal asymptotes are y = (use a comma to separate answers as needed.) b. there are no horizontal asymptotes. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the vertical asymptotes are x = (use a comma to separate answers as needed.) b. there are no vertical asymptotes.

Answer

Explanation:

Step1: Find vertical asymptotes

Set the denominator equal to 0: $x^{2}+2x - 24=0$. Factor the quadratic equation: $(x + 6)(x - 4)=0$. Solve for $x$: $x=-6$ or $x = 4$.

Step2: Find horizontal asymptotes

Degree of numerator $n = 4$ and degree of denominator $m=2$. Since $n>m$, there are no horizontal asymptotes.

Answer:

B. There are no horizontal asymptotes. A. The vertical asymptotes are $x=-6,4$