Find the horizontal asymptote if any of the graph of the rat

Find the horizontal asymptote, if any, of the graph of the rational function. f(x) = -4x + 3/7x + 6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The horizontal asymptote is (Type an equation. Simplify your answer. Use integers or fractions for any numbers in the equation.) There is no horizontal asymptote.

Solution

f(x) =( -4x +3)/(7x +6)

same degree on both numerator and denominator, so horizontal asymtote

is found by dividng the highest coeffiecients of num and den,

y = -4x/7x = -4/7

y = -4/7 Option A