Find the horizontal asymptote, if any of the graph of the rational function. g(x)=(21x^2)/(7x^2)+8 Select the correct choice below and, if necessary, fill in the answer box to complet A. The horizontal asymptote is square . (Type an equation.) B. There is no horizontal asymptote.

To find the horizontal asymptote of the rational function \( g(x) = \frac{21x^2}{7x^2 + 8} \), we need to compare the degrees of the polynomial in the numerator and the polynomial in the denominator.<br /><br />1. The degree of the polynomial in the numerator (21\(x^2\)) is 2.<br />2. The degree of the polynomial in the denominator (7\(x^2\) + 8) is also 2.<br /><br />When the degrees of the numerator and the denominator are equal, the horizontal asymptote is found by dividing the leading coefficients of the numerator and the denominator.<br /><br />The leading coefficient of the numerator is 21, and the leading coefficient of the denominator is 7. Therefore, the horizontal asymptote is:<br /><br />\[<br />y = \frac{21}{7} = 3<br />\]<br /><br />So, the correct choice is:<br />A. The horizontal asymptote is \( y = 3 \).