For each of the following rational expressions, determine the values for which the expression is undefined: $\newline$ A) The expression $\frac{14 m}{8 n}$ is undefined when ? $\hat{\diamond}=$ $\newline$ B) The expression $\frac{19 y+5}{20 y-20}$ is undefined when ? $\hat{0}=$ $\newline$ C) The expression $\frac{b-16}{b^{2}-361}$ is undefined when ? $\hat{0}=$ $\newline$ Submit Question

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Q. For each of the following rational expressions, determine the values for which the expression is undefined:

\newline

A) The expression

\frac{14 m}{8 n}

is undefined when ?

\hat{\diamond}=

\newline

B) The expression

\frac{19 y+5}{20 y-20}

is undefined when ?

\hat{0}=

\newline

C) The expression

\frac{b-16}{b^{2}-361}

is undefined when ?

\hat{0}=

\newline

Submit Question

Determine undefined expression: step_1: Determine when the expression $(14 m)/(8n)$ is undefined. $\newline$ A rational expression is undefined when its denominator is equal to zero. Therefore, we set the denominator of the expression equal to zero and solve for $n$ . $\newline$ $8n = 0$ $\newline$ $n = 0$ $\newline$ The expression $(14 m)/(8n)$ is undefined when $n = 0$ . $\newline$ $\hat{\diamond}=n$
Find undefined expression: step_2: Determine when the expression $(19 y+5)/(20 y-20)$ is undefined. $\newline$ Similarly, we set the denominator of this expression equal to zero and solve for $y$ . $\newline$ $20 y - 20 = 0$ $\newline$ $20 y = 20$ $\newline$ $y = 20/20$ $\newline$ $y = 1$ $\newline$ The expression $(19 y+5)/(20 y-20)$ is undefined when $y = 1$ . $\newline$ $\hat{0}=y$
Identify undefined expression: step $_3$ : Determine when the expression $(b-16)/(b^2-361)$ is undefined. $\newline$ Again, we set the denominator of this expression equal to zero and solve for $b$ . $\newline$ $b^2 - 361 = 0$ $\newline$ $(b - 19)(b + 19) = 0$ $\newline$ $b - 19 = 0$ or $b + 19 = 0$ $\newline$ $b = 19$ or $b = -19$ $\newline$ The expression $(b-16)/(b^2-361)$ is undefined when $b = 19$ or $b = -19$ . $\newline$ $(b-16)/(b^2-361)$ $2$