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how to find domain and range

Answer» Domain: If f : X →Y is a function, then the set X is called the Domain and Y is called the co-domain of the function f. Example: Find domain of the function fx\xa0=\xa01x-5 The given function is not defined at x = 5. Therefore, Domain of the given function is R - {5}, where R is set of all real numbers.Range: The set of second elements of the ordered pairs defining a function is called the Range of the function. Example: Find the range of function fx\xa0=\xa01x-5 Now, y=\xa01x-5⇒\xa0\xa0\xa0\xa0\xa0\xa01y=x-5⇒\xa0\xa0\xa0\xa0\xa0\xa0x\xa0=\xa05y+1y Clearly, x is not defined when y = 0. Therefore, Range of given funciton is R - {0}.


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