What are the asymptotes for #f(x)=[(5x+3)/(2x-3)]+1#?

1 Answer
Mar 2, 2018

Answer:

#3/2#

Explanation:

You have to ask yourself: what does X have to be for the function to be dividing by 0?

#2x-3=0#
#2x=3#
#x=3/2#

So when #x# is #3/2#, The function will contain a divide by zero error, and that is the asymptote. The "#+1#" at the end will not affect this, but will to the roots/zeros/x-intercepts.