Problem 13

Question

Find all numbers for which each rational expression is undefined. If the rational expression is defined for all real numbers, so state. $$\frac{x+5}{5}$$

Step-by-Step Solution

Verified
Answer
The given rational expression \(\frac{x + 5}{5}\) is defined for all real numbers.
1Step 1: Identify Possible Undefined Conditions
The expression \(\frac{x + 5}{5}\) can be undefined when the denominator 5 equals to 0. However, in this case, the denominator is a constant and it is always different from 0.
2Step 2: Check for Values
As the condition for being undefined does not meet for any real number, so the expression is defined for all real numbers.