1. **State the problem:** Find the horizontal asymptote(s) of the function $$f(x) = \frac{5x^2 + 4x + 4}{4x^2 + 5x - 3}$$. 2. **Recall the rule for horizontal asymptotes:** - If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is $$y=0$$. - If the degrees are equal, the horizontal asymptote is $$y=\frac{\text{leading coefficient of numerator}}{\text{leading coefficient of denominator}}$$. - If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote. 3. **Identify degrees:** - Degree of numerator: 2 (because of $$5x^2$$) - Degree of denominator: 2 (because of $$4x^2$$) 4. **Since degrees are equal, horizontal asymptote is:** $$y=\frac{5}{4}$$ 5. **Final answer:** The function has one horizontal asymptote at $$y=\frac{5}{4}$$.