if f(x)= 3x^2-4x+1 and g(x)=3x^2-3

Question

what values are not in the domain of f/g?

A. 0
B. 1
C. 3
D. +-1
E. no values to exclude

3(x^2-1)3(x+1)(x-1)
(3x-1)(3x-3)

(3x-1) (x-1)

Answer 1

3 x ^ 2 - 4 x + 1 =

( x - 1 ) ( 3 x - 1 )

3 x ^ 2 - 3 =

3 ( x ^ 2 - 1 ) =

3 ( x + 1 ) ( x - 1 )

( 3 x ^ 2 - 4 x + 1 ) / ( 3 x ^ 2 - 3 ) =

( x - 1 ) ( 3 x - 1 ) / [ 3 ( x + 1 ) ( x - 1 ) ] =

( 3 x - 1 ) / [ 3 ( x + 1 ) ] =

1 - 4 / [ ( 3 ( x + 1 ) ]

Domain :

x + 1 # 0

x # - 1

Only point x = - 1 are not in the domain of f / g

Answer 2

so its letter d