Chapter 7: Q. 379 (page 736)

Determine the values for which the rational expression is undefined.
$\frac{5 x^{2} y^{2}}{8 y}$

Short Answer

Expert verified

Rational function can be undefined when $y = 0 .$

Step by step solution

Step 1. Given Data

Rational function can be given as $R (x) = \frac{5 x^{2} y^{2}}{8 y} .$

Step 2. Critical point

To find the critical point,

$5 x^{2} y^{2} = 0 x = 0, y = 0 8 y = 0 y = 0$

Using critical points, the points can be substituted to find point when rational function is undefined. At y=0,

$R (x) = \frac{0}{0} = \infty$

The function is undefined at y=0.

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Determine the values for which the rational expression is undefined.
$\frac{5 x^{2} y^{2}}{8 y}$

Short Answer

Step by step solution

Step 1. Given Data

Step 2. Critical point

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Determine the values for which the rational expression is undefined.
$\frac{5 x^{2} y^{2}}{8 y}$