Question

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( ) is undefined. Make sure to show your work. (

Answer 1

Factorize f(x)
then U'll get
\[3x ^{2}-4x+1\]= (3x-1)(x-1)

f(x)= (3x-1)(x-1)/(3x-1)
= x-1

Now for
f(1) put x as 1
So U shoud get
f(x)= x-1
f(1)= 1-1 =0

Similarly for the rest
f(0) = 0-1=-1
f(-1) = -1-1=-2