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Asked by g_archanasharma | 05 Apr, 2019, 15:40: PM
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G i v e n colon space f left parenthesis x right parenthesis equals x squared plus x plus sin space x minus cos space x plus log left parenthesis 1 plus vertical line x vertical line right parenthesis space w h e r e space x element of left square bracket 0 comma 1 right square bracket L e t space F left parenthesis x right parenthesis space b e space t h e space o d d space e x t e n s i o n space o f space f left parenthesis x right parenthesis S i n c e comma space f left parenthesis x right parenthesis space i s space d e f i n e d space f o r space x element of left square bracket 0 comma 1 right square bracket rightwards double arrow F left parenthesis x right parenthesis space i. e. space t h e space o d d space e x t e n s i o n space w i l l space b e space d e f i n e d space f o r space x element of left square bracket negative 1 comma 0 right square bracket space s u c h space t h a t F left parenthesis x right parenthesis equals negative f left parenthesis negative x right parenthesis rightwards double arrow F left parenthesis x right parenthesis equals negative left parenthesis left parenthesis negative x right parenthesis squared minus x plus sin left parenthesis negative x right parenthesis minus cos left parenthesis negative x right parenthesis plus log left parenthesis 1 plus vertical line minus x vertical line right parenthesis right parenthesis rightwards double arrow F left parenthesis x right parenthesis equals negative left parenthesis x squared minus x minus sin space x minus cos space x plus log left parenthesis 1 plus vertical line x vertical line right parenthesis right parenthesis rightwards double arrow F left parenthesis x right parenthesis equals negative x squared plus x plus sin space x minus cos space x plus log left parenthesis 1 plus vertical line x vertical line right parenthesis comma space x element of left square bracket negative 1 comma 1 right square bracket
Answered by Renu Varma | 05 Apr, 2019, 17:01: PM

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