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Chapter 7: Problem 3

Find all numbers for which each rational expression is undefined. If the rational expression is defined for all real numbers, so state. $$\frac{x}{x-8}$$

Short Answer

Expert verified
The rational expression is undefined for \(x = 8\).

Step by step solution

01

Set the denominator equal to zero

To find when the rational expression is undefined, set the denominator of the rational expression \(x - 8\) equal to zero.
02

Solve for x

Solve the equation \(x - 8 = 0\) to find the value of \(x\).
03

Final Answer

The solution of the equation as obtained will be the value of \(x\) for which the given rational expression is undefined.

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Most popular questions from this chapter

What are similar triangles?

If the ratio of the corresponding sides of two similar triangles is 1 to 1 ( \(\frac{1}{1}\) ), what must be true about the triangles?

denominators are opposites, or additive inverses. Add or subtract as indicated. Simplify the result, if possible. $$\frac{4-x}{x-9}-\frac{3 x-8}{9-x}$$

denominators are opposites, or additive inverses. Add or subtract as indicated. Simplify the result, if possible. $$\frac{3-x}{x-7}-\frac{2 x-5}{7-x}$$

perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{1}{8}-\frac{5}{6}$$
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