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Identify the horizontal asymptote of the following rational function: f(x) = (x - 9) / (4x + 3) a. y = 1/4...

Identify the horizontal asymptote of the following rational function:
f(x) = (x - 9) / (4x + 3)
a. y = 1/4
b. y = 0
c. y = 4
d. y = -9

Answer

The horizontal asymptote of a rational function is determined by comparing the degrees of the numerator and the denominator. Here, both the numerator and the denominator are of degree 1. The horizontal asymptote is the ratio of the leading coefficients: 1/4.

Answer: a. y = 1/4

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