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If f is a function from R to R satisfying the property given in the attachment, for all x belongs to R, then find the period of f(x).....

If f is a function from R to R satisfying the property given in the attachment, for all x belongs to R, then find the period of f(x).....

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Grade:12

1 Answers

Aditya Gupta
2080 Points
2 years ago
put 2x+3=y
then f(y)+f(y+4)=2
replace y by y+4
so f(y+4)+f(y+8)=2
subtract both eqns
f(y) = f(y+8)
so period is 8

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