Big Ideas Math Integrated III
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Big Ideas Math Integrated III View details
4. Adding and Subtracting Rational Expressions
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Exercise 3 Page 331

Recall that we must exclude the values that make the denominator zero.

See solution.

Practice makes perfect
Let's consider the following pair of rational functions.
The domain of is all real numbers such that and the domain of is all real number such that Next, let's find the sum and difference of the two functions above.
Since we got a rational function, we have to exclude the values that make the denominator zero.
We see above that the domain of the sum or difference of two rational functions is all the real numbers such that and

The domain of the sum or difference of two rational functions is the intersection of the domains of both functions.