How do you graph #f( x ) = \frac { 9x ^ { 2} + 9x - 18} { 3x + 6} #?

1 Answer
Nov 21, 2017

#f_((x))=3x-3 , x!=-2#

Explanation:

#(3x+6)(3x-3)#
#9x^2+18x-9x-18=9x^2+9x-18#
#=>#
#(9x^2+9x-18)/(3x+6)=3x-3#
#=>#
#f_((x))=3x-3 , x!=-2#
#=>#
#m=3#
#A=(0,-3)#
#B=(1,0)#
hole: #(-2,-9)#

graph (Note: I don't know how to use it properly, so be aware that (-2,-9) is an hole = should has a blank circle around it):
graph{3x-3 [-10, 10, -5, 5]}