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Unformatted text preview: Note that the range of is not equal to the domain of . For instance, is an element of the domain of , but is not an element of the domain of . Thus, the value is not defined. We can do a similar analysis with the other elements of the domain of : is an element of the domain of is an element of the domain of is an element of the domain of is an element of the domain of is not an element of the domain of Therefore, the domain of is . To find the range of , we find the images of those values under , as follows: Therefore, the range of is . The function can be summarized as follows: Thus, the answer is: For additional explanation, see your textbook: Section 2.7: Combining Functions Domain of = Range of = ....
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This note was uploaded on 02/10/2009 for the course MATH 107 taught by Professor Self during the Spring '08 term at Washington State University .
- Spring '08