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CBSE Class 12-science Answered

explain.
Asked by yugibo | 13 Apr, 2016, 10:42: PM
answered-by-expert Expert Answer
straight f open parentheses straight x close parentheses equals fraction numerator straight x minus 1 over denominator straight x plus 1 end fraction
straight f squared open parentheses straight x close parentheses space equals space straight f left curly bracket straight f left parenthesis straight x right parenthesis right curly bracket space equals straight f open parentheses fraction numerator straight x minus 1 over denominator straight x plus 1 end fraction close parentheses space equals space fraction numerator fraction numerator straight x minus 1 over denominator straight x plus 1 end fraction minus 1 over denominator fraction numerator straight x minus 1 over denominator straight x plus 1 end fraction plus 1 end fraction equals negative 1 over straight x
straight f cubed open parentheses straight x close parentheses space equals space straight f left curly bracket straight f squared left parenthesis straight x right parenthesis right curly bracket space equals straight f open parentheses negative 1 over straight x close parentheses space equals space fraction numerator negative 1 over straight x minus 1 over denominator negative 1 over straight x plus 1 end fraction equals negative fraction numerator left parenthesis straight x plus 1 right parenthesis over denominator left parenthesis straight x minus 1 right parenthesis end fraction
straight f to the power of 4 open parentheses straight x close parentheses space equals space straight f left curly bracket straight f cubed left parenthesis straight x right parenthesis right curly bracket space equals straight f open parentheses negative fraction numerator left parenthesis straight x plus 1 right parenthesis over denominator left parenthesis straight x minus 1 right parenthesis end fraction close parentheses space equals space fraction numerator negative fraction numerator left parenthesis straight x plus 1 right parenthesis over denominator left parenthesis straight x minus 1 right parenthesis end fraction minus 1 over denominator negative fraction numerator left parenthesis straight x plus 1 right parenthesis over denominator left parenthesis straight x minus 1 right parenthesis end fraction plus 1 end fraction equals straight x
straight f to the power of 5 open parentheses straight x close parentheses space equals space straight f left curly bracket straight f to the power of 4 left parenthesis straight x right parenthesis right curly bracket space equals straight f open parentheses straight x close parentheses

S o space w e space g e t space straight a space c y c l e space o f space 4 space d i f f e r e n t space t e r m space a n d space f i f t h space t e r m space i s space a g a i n space t h e space f i r s t space t e r m.

H e n c e
straight f to the power of 1996 open parentheses straight x close parentheses space equals space straight x
straight f to the power of 1997 open parentheses straight x close parentheses space equals straight f open curly brackets straight f to the power of 1996 open parentheses straight x close parentheses close curly brackets space equals space straight f left parenthesis straight x right parenthesis
straight f to the power of 1998 left parenthesis straight x right parenthesis space equals space straight f open curly brackets space straight f left parenthesis straight x right parenthesis close curly brackets space equals negative 1 over straight x
Answered by Vijaykumar Wani | 15 Apr, 2016, 11:21: AM
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