question find all horizontal asymptotes of the following function. f(x) = (3x + 24)/(5x^2 + 33x - 56)

Answer:

$y = 0$

Explanation:

Step1: Determine the degrees of polynomials

The degree of the numerator $n = 1$ (for $3x+24$) and the degree of the denominator $m = 2$ (for $5x^{2}+33x - 56$).

Step2: Apply horizontal - asymptote rule

When $n<m$, the horizontal asymptote is $y = 0$. Since $1<2$, the horizontal asymptote of $f(x)=\frac{3x + 24}{5x^{2}+33x - 56}$ is $y = 0$.