question\nfind all horizontal asymptotes of the following function.\n$f(x)=\\frac{3x^{2}-243}{6x + 16}$\nno…

question\nfind all horizontal asymptotes of the following function.\n$f(x)=\\frac{3x^{2}-243}{6x + 16}$\nno horizontal asymptotes\none horizontal asymptote\ntwo horizontal asymptotes\none horizontal asymptote

question\nfind all horizontal asymptotes of the following function.\n$f(x)=\\frac{3x^{2}-243}{6x + 16}$\nno horizontal asymptotes\none horizontal asymptote\ntwo horizontal asymptotes\none horizontal asymptote

Answer

Explanation:

Step1: Recall the rule for horizontal asymptotes

For a rational function (f(x)=\frac{a_nx^n+\cdots+a_0}{b_mx^m+\cdots + b_0}), if (n>m), there is no horizontal asymptote. Here, the degree of the numerator (n = 2) (for (3x^2-243)) and the degree of the denominator (m=1) (for (6x + 16)).

Answer:

No Horizontal Asymptotes