How do you find the vertical, horizontal and slant asymptotes of: #f(x)= Ln(2-x)+5#?

1 Answer
Feb 22, 2017

Answer:

vertical asymptote: #x = 2#
horizontal asymptote: none
slant asymptote: none

Explanation:

By definition: #ln(2-x) > 0#

therefore #2-x >0# or # -x > -2# or #x < 2#

#ln(0)# is undefined, which means when #x = 2# the function has a vertical asymptote at #x=2#

Since the function is not a rational function: #(N(x))/(D(x))# there are no horizontal or slant asymptotes.