Let f : R → R be a function given by f (x + y) = f (x) + f (y) for all x, y ∈ R such that…

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

Let f : R → R be a function given by f (x + y) = f (x) + f (y) for all x, y ∈ R such that f (1) = a. Then, f (x) =
  1. ax
  2. ax
  3. xa
  4. a + x

Answer

(B) ax

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