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Suppose `f`is a real function satisfying `f(x+f(x))=4f(x)a n df(1)=4.`Then the value of `f(21)`is`16``21``64``105`A. 16B. 64C. 4D. 44

Answer» Correct Answer - B
`f(x+f(x))=4f(x) and f(1)=4`
Put x = 1, then
`f(1+f(1))=4f(1)`
`rArr" "f(5)=16`
Put x = 5, then
`f(5+f(5))=4f(5)`
`rArr" "f(21)=64`


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