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

Question

Quizplus · Accepted Answer

The domain of $f(x)$ is all real numbers except those that make the denominator zero. Setting the denominator equal to zero, $x^2 - 6x = 0$, we find $x(x - 6) = 0$, which gives $x = 0$ and $x = 6$ as the values that are not in the domain.

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 $f ( x ) = \frac { 6 x + 6 } { x ^ { 2 } - 6 x }$