Find the domain of the function. $f ( y ) = \frac { - 6 y } { y + 9 }$
A)all real numbers $y \neq - 9$
B)all real numbers $y \neq - 9$ , $y \neq 0$
C)all real numbers
D)y = -9, y = 0
E)y = -9

Question

Quizplus · Accepted Answer

The domain of the function $f(y) = \frac{-6y}{y+9}$ includes all real numbers except for the value that makes the denominator zero. Since the denominator is $y + 9$, setting it to zero gives $y + 9 = 0$, which solves to $y = -9$. Therefore, the domain is all real numbers except $y \neq -9$.

Find the Domain of the Function f(y)=−6yy+9f ( y ) = \frac { - 6 y } { y + 9 }f(y)=y+9−6y​

Find the Domain of the Function $f ( y ) = \frac { - 6 y } { y + 9 }$