After finding the domain, the teacher said that you did not have to write x does not equal -3 because -3 is greater than -5. However, because -3 is greater than -5, you DO have to write x does not equal -3. So the domain is all real numbers >= -5 but not equal to -3.
In this lesson, we learn how to find the implied domain in a rational expression. The implied domain is all of the x values that make the expression valid, except for when the denominator is zero or when the expression under the radical is negative. To find the domain, we set the denominator equal to zero and the expression under the radical greater than or equal to zero, then solve for x. The domain is all real numbers except for the values that make the expression undefined.
Here I show how to find the implied domain
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