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Chapter 7: Problem 14

Find all numbers for which each rational expression is undefined. If the rational expression is defined for all real numbers, so state. $$\frac{x+7}{7}$$

Short Answer

Expert verified
The rational expression \(\frac{x+7}{7}\) is defined for all real numbers.

Step by step solution

01

Identification of Denominator

Identify the denominator in the expression. In the expression \(\frac{x+7}{7}\), the denominator is 7.
02

Set Denominator Equal to Zero and Solve

To find out when this expression is undefined, set the denominator equal to zero and solve for x. However, in this situation, 7 is the denominator, which is a constant, and it never equals zero.
03

Conclusion

Since the denominator is a constant that never equals zero, there are no values of x that make the rational expression undefined.

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Most popular questions from this chapter

perform the indicated operation or operations. Simplify the result, if possible. $$\frac{22 b+15}{12 b^{2}+52 b-9}+\frac{30 b-20}{12 b^{2}+52 b-9}-\frac{4-2 b}{12 b^{2}+52 b-9}$$

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