Find the specified asymptotes of the following functions. Recall that asymptotes are lines therefore the answer must be given as an equation of a line. All should be done with answers, show work, explain in words.

a) Find the vertical asymptote of the function f(x) = 4 over x + 5

b) Find the horizontal asymptote of the function g(x) = 5x^2 -4 over x + 1

c) Find the vertical and horizontal asymptote of the function f(x) = 3x – 1 over x +4

#c needs both answers and show work and explain in words.

d) Find the vertical and horizontal asymptote of the function g(x) =
_x + 7_ over x^{2} - 4

#d needs both answers and show work and explain in words.