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 $\neq$ -6, w $\neq$ 0
D)all real numbers
E)all real numbers w $\neq$ -6

Question

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 $\neq$ -6, w $\neq$ 0
D)all real numbers
E)all real numbers w $\neq$ -6

Quizplus · Accepted Answer

The domain of the function $f(w) = \frac{8w}{w + 6}$ includes all real numbers except those that make the denominator zero. Since the denominator is $w + 6$, setting it to zero gives $w + 6 = 0$, which solves to $w = -6$. 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 $f ( w ) = \frac { 8 w } { w + 6 }$