Find the domain of the rational expression.
-$f ( y ) = \frac { y ^ { 2 } - 24 y } { 4 y }$
A) $\{ y \mid y$ is a real number and $y \neq 0 \}$
B) $\{ \mathrm { y } \mid \mathrm { y }$ is a real number and $\mathrm { y } \neq 0$ and $\mathrm { y } \neq 24 \}$
C) $\{ \mathrm { y } \mid \mathrm { y }$ is a real number and $\mathrm { y } \neq 4 \}$
D) $\left\{ \mathrm { y } \mid \mathrm { y } \right.$ is a real number and $\left. \mathrm { y } \neq \frac { 1 } { 4 } \right\}$

Question

Quizplus · Accepted Answer

The domain of a rational expression excludes values that make the denominator zero. Since the denominator is $4y$, the only value that needs to be excluded from the domain is $y = 0$, making option A correct.

Find the Domain of the Rational Expression f(y)=y2−24y4yf ( y ) = \frac { y ^ { 2 } - 24 y } { 4 y }f(y)=4yy2−24y​

Find the Domain of the Rational Expression $f ( y ) = \frac { y ^ { 2 } - 24 y } { 4 y }$