Find domain of the following function. $g ( x ) = \frac { x ^ { 2 } - 4 } { x ^ { 2 } - 3 x + 2 }$
A)all real numbers x except x = -4 and x = -1
B)all real numbers x except x = -3 and x = 2
C)all real numbers x except x = 3 and x = 4
D)all real numbers x except x = 2 and x = 1
E)all real numbers x except x = -2 and x = 1

Question

Find domain of the following function. $g ( x ) = \frac { x ^ { 2 } - 4 } { x ^ { 2 } - 3 x + 2 }$  
A)all real numbers x except x = -4 and x = -1
B)all real numbers x except x = -3 and x = 2
C)all real numbers x except x = 3 and x = 4
D)all real numbers x except x = 2 and x = 1
E)all real numbers x except x = -2 and x = 1

Quizplus · Accepted Answer

The domain of $g(x)$ is all real numbers except those that make the denominator zero. Factoring the denominator gives $x^2 - 3x + 2 = (x - 2)(x - 1)$, so the values that make the denominator zero are $x = 2$ and $x = 1$. These are the values that must be excluded from the domain.

Find Domain of the Following Function g(x)=x2−4x2−3x+2g ( x ) = \frac { x ^ { 2 } - 4 } { x ^ { 2 } - 3 x + 2 }g(x)=x2−3x+2x2−4​

Find Domain of the Following Function $g ( x ) = \frac { x ^ { 2 } - 4 } { x ^ { 2 } - 3 x + 2 }$