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 the function excludes values that make the denominator zero. Factoring the denominator gives $x^2 - 6x = x(x - 6)$. Thus, the function is undefined for $x = 0$ and $x = 6$, making all real numbers except $x = 0$ and $x = 6$ the correct 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 $f ( x ) = \frac { 6 x + 6 } { x ^ { 2 } - 6 x }$