The function is defined for all real numbers

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

The function f(x)=4x2−52x2+7f(x)=\dfrac{4x^{2}-5}{2x^{2}+7} is defined for all real numbers xx. Which of the following is the equation of the horizontal asymptote of the graph of ff? (a) y=12y=\dfrac12 (b) y=2y=2 (c) y=4y=4 (d) y=0y=0

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