What is the vertical and horizontal asymptotes of the rational function below: R(x) = (4x + 5)/(7x + 8)?Question 9Answera.x = -8/7, y = 4/7b.x = -7/8, y = 7/4c.x = 1/8, y = 0d.x = -8, y = 0

The vertical asymptote of a rational function is found by setting the denominator equal to zero and solving for x. The horizontal asymptote is determined by the ratio of the leading coefficients of the highest degree terms in the numerator and denominator.

For the function R(x) = (4x + 5)/(7x + 8), let's find the vertical and horizontal asymptotes:

1. Vertical Asymptote: Set the denominator equal to zero and solve for x: 7x + 8 = 0 7x = -8 x = -8/7

So, the vertical asymptote is x = -8/7.

2. Horizontal Asymptote: The degree of the numerator and denominator are the same (both are 1), so the horizontal asymptote is the ratio of the leading coefficients, which is 4/7.

So, the horizontal asymptote is y = 4/7.

Therefore, the correct answer is a. x = -8/7, y = 4/7.