Find the domain of the expression.
-$$\frac { x ^ { 2 } - 64 } { x ^ { 2 } - 6 x + 8 }$$
A) $\{ x \mid x \neq 2$ and $x \neq 4 \}$
B) $\{ x \mid x \neq - 2$ and $x \neq - 4 \}$
C) $\{ x \mid x \neq - 8$ and $x \neq + 8 \}$
D) $\{ x \mid x \neq 0 \}$

Question

Quizplus · Accepted Answer

The denominator $x^2 - 6x + 8$ factors to $(x-2)(x-4)$. The expression is undefined when the denominator is 0, which occurs at $x = 2$ and $x = 4$. Thus, the domain excludes these values.

Find the Domain of the Expression x2−64x2−6x+8\frac { x ^ { 2 } - 64 } { x ^ { 2 } - 6 x + 8 }x2−6x+8x2−64​

Find the Domain of the Expression $\frac { x ^ { 2 } - 64 } { x ^ { 2 } - 6 x + 8 }$