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Sir pls solve the following.
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Asked by rsudipto | 04 Jan, 2019, 19:15: PM
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begin mathsize 16px style straight x squared straight f open parentheses straight x close parentheses minus 2 straight f open parentheses 1 over straight x close parentheses equals straight g open parentheses straight x close parentheses space..... left parenthesis straight i right parenthesis Put space 1 over straight x space in space the space above space equation 1 over straight x squared straight f open parentheses 1 over straight x close parentheses minus 2 straight f open parentheses straight x close parentheses equals straight g open parentheses 1 over straight x close parentheses 2 over straight x squared straight f open parentheses 1 over straight x close parentheses minus 4 straight f open parentheses straight x close parentheses equals 2 straight g open parentheses 1 over straight x close parentheses space space space space space space space space space space space space space space space space space space Multiplying space by space 2 space to space get space similar space equation space as space left parenthesis straight i right parenthesis 2 straight f open parentheses 1 over straight x close parentheses minus 4 straight x squared straight f open parentheses straight x close parentheses equals 2 straight x squared straight g open parentheses 1 over straight x close parentheses space space space space space space space space space space space space space left parenthesis ii right parenthesis Adding space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis straight x squared straight f open parentheses straight x close parentheses minus 2 straight f open parentheses 1 over straight x close parentheses plus 2 straight f open parentheses 1 over straight x close parentheses minus 4 straight x squared straight f open parentheses straight x close parentheses equals straight g open parentheses straight x close parentheses plus 2 straight x squared straight g open parentheses 1 over straight x close parentheses minus 3 straight x squared straight f open parentheses straight x close parentheses equals straight g open parentheses straight x close parentheses plus 2 straight x squared straight g open parentheses 1 over straight x close parentheses straight f open parentheses straight x close parentheses equals fraction numerator straight g open parentheses straight x close parentheses plus 2 straight x squared straight g open parentheses 1 over straight x close parentheses over denominator negative 3 straight x squared end fraction Given space that space straight g left parenthesis straight x right parenthesis space is space odd space function. straight x squared space is space even space function. straight f left parenthesis straight x right parenthesis space is space odd. It space is space given space that space straight f left parenthesis straight x right parenthesis space is space even. This space contradicts space our space assumption. Hence comma space straight f left parenthesis straight x right parenthesis equals 0. straight f left parenthesis 5 right parenthesis equals 0 end style
Answered by Sneha shidid | 07 Jan, 2019, 09:21: AM
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