# Simplify the given expressions and then check your answers with a calculator as in Example 8. Data from Example 8

## Question:

Simplify the given expressions and then check your answers with a calculator as in Example 8.

**Data from Example 8**

To graphically check the result of Example 7, we first let y_{1} equal the original expression and y_{2} equal the final result. In this case,

Figure 6.2(a) shows y_{2} (in red) being graphed right over y_{1} (in blue). Since the graphs are the same, we can consider this as a check (but not as a proof) that the expressions are equivalent.

The table in Fig. 6.2(b) also shows the expressions are equivalent throughout their common domains since the y-values, when they exist, are the same for y_{1} and y_{2}. The x-values that cause division by zero in either function have undefined y-values and are shown as “ERROR” in the table. It is important to note that although the two functions agree with each other, their domains are different.

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**Related Book For**

## Basic Technical Mathematics

**ISBN:** 9780137529896

12th Edition

**Authors:** Allyn J. Washington, Richard Evans

**Question Details**

**6**- Factoring and Fractions

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