Find the domain of the expression.
-$$\frac { y } { y ^ { 2 } - 25 }$$
A) $\{ y \mid y \neq 25$ and $y \neq - 25 \}$

B) $\{ y \mid y \neq 0 \}$

C) $\{ y \mid y \neq 625$ and $y \neq - 625 \}$

D) $\{ y \mid y \neq 5$ and $y \neq - 5 \}$

Question

Find the domain of the expression.
-$$\frac { y } { y ^ { 2 } - 25 }$$
A) $\{ y \mid y \neq 25$ and $y \neq - 25 \}$

B) $\{ y \mid y \neq 0 \}$

C) $\{ y \mid y \neq 625$ and $y \neq - 625 \}$

D) $\{ y \mid y \neq 5$ and $y \neq - 5 \}$

Quizplus · Accepted Answer

The domain of the given expression excludes values of $y$ that make the denominator equal to zero. Factoring the denominator $y^2 - 25 = (y - 5)(y + 5)$, we see that the expression is undefined for $y = 5$ and $y = -5$, hence the correct domain is $\{ y \mid y \neq 5$ and $y \neq - 5 \}$.

Find the Domain of the Expression yy2−25\frac { y } { y ^ { 2 } - 25 }y2−25y​

Find the Domain of the Expression $\frac { y } { y ^ { 2 } - 25 }$