Find the domain of $f ( x ) = \frac { x ^ { 2 } - 16 } { x ^ { 2 } + 4 x - 32 }$ .
A)all real numbers except x = 8 and x = -4
B)all real numbers
C)all real numbers except x = 4 and x = -8
D)all real numbers except x = -4, x = 4 and x = -8
E)all real numbers except x = -8

Question

Quizplus · Accepted Answer

The domain of $f(x)$ is all real numbers except those that make the denominator equal to zero. Factoring the denominator gives $x^2 + 4x - 32 = (x + 8)(x - 4)$. Setting this equal to zero gives $x = -8$ and $x = 4$, so these are the values that are not in the domain.

Find the Domain Of f(x)=x2−16x2+4x−32f ( x ) = \frac { x ^ { 2 } - 16 } { x ^ { 2 } + 4 x - 32 }f(x)=x2+4x−32x2−16​

Find the Domain Of $f ( x ) = \frac { x ^ { 2 } - 16 } { x ^ { 2 } + 4 x - 32 }$