How do you find the vertical, horizontal or slant asymptotes for # f(x) = (x+4)/(x-2) #?

1 Answer
Apr 12, 2016

Answer:

#x=2#
#y=1#

Explanation:

The equation is undefined when the denominator becomes 0. Consequently the excluded value is #x=2# thus there is a vertical asymptote at #x=2#

As the value of #x# increases significantly in both the positive and negative domains the influence of the constants of 4 and -2 becomes less and less significant.

Thus # lim_(x to+-oo) (x+4)/(x-2)-> x/x = 1#

So #y=1# is an asymptote.

Tony B