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Asked by rbhatt16 9th June 2018, 11:20 PM
Answered by Expert
Answer:
begin mathsize 16px style Given space straight f left parenthesis 2 right parenthesis space equals 5 space and space straight f left parenthesis straight x right parenthesis straight f left parenthesis straight y right parenthesis space equals space straight f left parenthesis straight x right parenthesis space plus space straight f left parenthesis straight y right parenthesis thin space plus space straight f left parenthesis xy right parenthesis space minus space 2 space............ left parenthesis straight i right parenthesis
all space straight x space and space straight y space are space real space numbers
Put space straight x space equals space 2 space and space straight y space equals space 1 space in space left parenthesis straight i right parenthesis
straight f left parenthesis 2 right parenthesis straight f left parenthesis 1 right parenthesis space equals space straight f left parenthesis 2 right parenthesis space plus space straight f left parenthesis 1 right parenthesis space plus space straight f left parenthesis 2 right parenthesis space minus space 2
5 straight f left parenthesis 1 right parenthesis space equals space 10 space plus space straight f left parenthesis 1 right parenthesis space minus space 2
4 straight f left parenthesis 1 right parenthesis space equals space 8 space
straight f left parenthesis 1 right parenthesis space equals space 2......... left parenthesis ii right parenthesis
Put space straight y space equals space 1 over straight x space in space left parenthesis straight i right parenthesis
straight f left parenthesis straight x right parenthesis straight f open parentheses 1 over straight x close parentheses equals straight f left parenthesis straight x right parenthesis plus straight f open parentheses 1 over straight x close parentheses
straight f left parenthesis straight x right parenthesis equals straight x to the power of straight n space plus space 1............ left parenthesis iii right parenthesis
straight f left parenthesis 2 right parenthesis space equals space 2 to the power of straight n space plus space 1 space equals space 5
2 to the power of straight n space equals space 4 space
straight n space equals space 2
straight f left parenthesis 3 right parenthesis space equals space 3 to the power of straight n space plus space 1 space........... from space left parenthesis iii right parenthesis
straight g left parenthesis 3 right parenthesis space equals space 3 squared space plus space 1 space equals space 10 end style
Answered by Expert 11th June 2018, 10:50 AM
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