Questions: Determine the horizontal asymptote of the graph of the function. f(x) = (3x^2 + 2) / (5x^2 - 3)

Determine the horizontal asymptote of the graph of the function. f(x) = (3x^2 + 2) / (5x^2 - 3)
Transcript text: Determine the horizontal asymptote of the graph of the function. \[ f(x)=\frac{3 x^{2}+2}{5 x^{2}-3} \]
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Solution

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Solution Steps

Step 1: Compare the degrees of the numerator and denominator

Since the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is at \(y = \frac{3}{5}\) = 0.6.

Final Answer: The horizontal asymptote of the given function is \(y = 0.6\).

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