21. simplify f(x)=3x^2-4x+1/3x-1. Using complete sentences, explain why f(1)=0, f(0)=1, and f(-1)=-2, yet f(1/3) is undefined. Make sure to show your work.

Question

anonymous · Answer

=  (3x - 1)(x - 1)
    -----------
       (3x - 1)

=  x - 1

anonymous · Answer

yes i got that im having difficulting in explaining why f(1)=0, f(0)=1, and f(-1)=-2, yet f(1/3) is undefined

anonymous · Answer

im sure dumbcrow can explain..

dumbcow · Answer

Because when x=1/3, the denominator of original f(x) = 0
the limit is (1/3) -1 = -2/3, but at that point it is still undefined, like a hole in the graph

anonymous · Answer

f(0) = -1

dumbcow · Answer

yeah i noticed that too...f(0) = -1

for practical purposes the function is x-1 and is treated like a linear function
mathematically, it is still undefined at x=1/3