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 the function is all real numbers except those that make the denominator equal to zero. Factoring the denominator $x^2 - 3x + 2 = (x - 2)(x - 1)$, we find that the function is undefined for $x = 2$ and $x = 1$.

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 $g ( x ) = \frac { x ^ { 2 } - 4 } { x ^ { 2 } - 3 x + 2 }$