The horizontal asymptote of the rational functionis.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of horizontal asymptotes in rational functions.
Key Concept Explanation
The horizontal asymptote is determined by comparing the degrees of the numerator and the denominator. If the degrees are equal, the horizontal asymptote is the ratio of the leading coefficients.
Step-by-step Solution
1. Identify the degrees of the numerator and the denominator: both are 2
2. Compare the degrees: since they are equal, the horizontal asymptote is the ratio of the leading coefficients
3. Leading coefficient of the numerator: 5
4. Leading coefficient of the denominator: 2
5. Horizontal asymptote:
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