Big Ideas Math Algebra 2, 2014
BI
Big Ideas Math Algebra 2, 2014 View details
3. Multiplying and Dividing Rational Expressions
Continue to next subchapter

Exercise 25 Page 381

We are asked to compare the function to Let's find the simplified form of to see if it is similar to
After canceling out common factors in the numerator and denominator of , we see its simplified form is equal to Let's compare the domains of the functions by taking a look at first.
We see that there are no domain values that would make this function a forbidden calculation. Therefore, the domain for is all real numbers. Let's look at .
If the denominator of a fraction equals then the expression becomes undefined. We must exclude all values from our domain that make our expression undefined. Let's set the of equal to in order to solve for this value.
The value will make our function undefined. We can use this fact to write the domain of
We see that the expressions and have the same simplified form, but the domain of is all real numbers. The domain of is all real numbers except