Question Find the equation of all horizontal asymptotes of the following function. f(x)=-(9)/(4x+24)+1

To find the horizontal asymptotes of the function \( f(x) = -\frac{9}{4x+24} + 1 \), we need to analyze the behavior of the function as approaches positive and negative infinity.First, let's rewrite the function in a more convenient form: As approaches positive or negative infinity, the term approaches 0 because the denominator grows without bound. Therefore, the function simplifies to: Thus, the horizontal asymptote of the function is: So, the equation of the horizontal asymptote is: