To identify:If the statement “restrictions on variables change when a rational expression is simplified” is always, sometimes, or never true.
The statement “restrictions on variables change when a rational expression is simplified” is never true.
Given information:
The statement “Restrictions on variables change when a rational expression is simplified”.
Explanation:
A rational function is defined as the function containing polynomials on the numerator and denominator.
To simplify the ration expressions, identify the restrictions of the function.
Even if the variables of expressions get cancelled out, the restrictions of the original expression should be the same with the simplified one.
The rational function is not valid at the points where the denominator is 0.
Thus, the statement “restrictions on variables change when a rational expression is simplified” is never true.
Chapter 8 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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