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Let-a-lt-c-lt-b-such-that-c-a-b-c-If-f-R-R-is-a-function-satisfying-the-relation-f-x-a-f-x-b-f-x-c-for-all-x-R-then-a-period-of-f-is-A-b-a-B-2-b-a-

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Question Number 119490 by Ar Brandon last updated on 25/Oct/20
Let a<c<b such that c−a=b−c. If f:R→R is a function satisfying the relation f(x+a)+f(x+b)=f(x+c) for all x∈R then a period of f is (A) (b−a) (B) 2(b−a) (C) 3(b−a) (D) 4(b−a)
Leta<c<bsuchthatc−a=b−c.Iff:R→Risafunctionsatisfyingtherelationf(x+a)+f(x+b)=f(x+c)forallx∈Rthenaperiodoffis(A)(b−a)(B)2(b−a)(C)3(b−a)(D)4(b−a)

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