Find the domain of the function. $f ( w ) = \frac { 8 w } { w + 6 }$
A)w = -6,w = 0
B)w = -6
C)all real numbers w ? -6,w ? 0
D)all real numbers
E)all real numbers w ? -6

Question

Quizplus · Accepted Answer

The domain of a function includes all the values for which the function is defined. For the function $f(w) = \frac{8w}{w+6}$, the only restriction is that the denominator cannot be zero, as division by zero is undefined. This occurs when $w + 6 = 0$, or $w = -6$. Therefore, the domain is all real numbers except $w ≠ -6$.

Find the Domain of the Function f(w)=8ww+6f ( w ) = \frac { 8 w } { w + 6 }f(w)=w+68w​

Find the Domain of the Function $f ( w ) = \frac { 8 w } { w + 6 }$