Determine the domain of $f ( x ) = \frac { 6 x + 6 } { x ^ { 2 } - 6 x }$.
A) all real numbers except $x = - 1 , x = 0$, and $x = 6$
B) all real numbers except $x = 0$ and $x = 6$
C) all real numbers except $x = - 6$ and $x = - 1$
D) all real numbers except $x = 6$
E) all real numbers

Question

Quizplus · Accepted Answer

We cannot have a denominator of 0, so we exclude $x=6$ and $x=0$. Additionally, $x^2-6x=0$ when $x=0$ and $x=6$, so we must exclude those values as well. Therefore, the domain is all real numbers except $x=0$ and $x=6$, which is choice B.

Determine the Domain Of f(x)=6x+6x2−6xf ( x ) = \frac { 6 x + 6 } { x ^ { 2 } - 6 x }f(x)=x2−6x6x+6​

Determine the Domain Of $f ( x ) = \frac { 6 x + 6 } { x ^ { 2 } - 6 x }$