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CBSE Class 12-science Answered

2018, 25, Maths,find the set of elements. 
Asked by alanpeter9611 | 26 Feb, 2019, 02:14: AM
Expert Answer
Please find your answer link
https://www.topperlearning.com/doubts-solutions/show-that-the-function-f-r-to-r-defined-by-f-x-x-x2-1-for-all-x-belongs-to-r-is-neither-one-one-nor-onto-also-if-g-r-to-r-is-defined-as-g-x-2x-1-find--1mnmzii
 
OR alternate solution
 
straight f left parenthesis straight a right parenthesis equals straight f left parenthesis straight b right parenthesis fraction numerator straight a over denominator straight a squared plus 1 end fraction equals fraction numerator straight b over denominator straight b squared plus 1 end fraction rightwards double arrow ab open parentheses straight b minus straight a close parentheses equals straight b minus straight a so comma straight b equals straight a space or space ab equals 1 so space there space are space points space such space that space straight a equals 1 over straight b...... so space not space one space one also 1 element of straight R so space straight F left parenthesis straight x right parenthesis equals 1 fraction numerator straight x over denominator straight x squared plus 1 end fraction equals 1 but comma space there space is space no space such space value space in space straight x space which space satisfies space the space above space condition space so space not space onto
Answered by Arun | 26 Feb, 2019, 10:45: AM

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