What are the equations of the asymptotes of the rational function? explain. f(x)= a. x=-7 and y=6 b. x=5 and y=6 c. x=7 and y=-6

to get the vertical asymptotes, we simply zero out the denominator and see what's the equation so let's do so

x + 7 = 0............. x = -7....... that's the vertical asymptote.

to get the horizontal asymptotes, there are 3 cases

if the denominator's degree is higher, or lower or the exactly the same as the degree of the numerator.

well, notice the rational, the degree of the numerator is just 1, 6x¹, and the degree of the denominator is also 1, 1x¹.

when that occurs, the horizontal asymptote occurrs at the fraction of their leading term coefficients.