If f (x + y) = f (x) . f (y) for all real x, y and f (0) ≠ 0 then the function g (x) = f(…
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
If f (x + y) = f (x) . f (y) for all real x, y and f (0) ≠ 0 then the function g(x) = \(\frac{f(\mathrm{x})}{1+(f(\mathrm{x}))^{2}}\)is
- even function
- odd function
- odd if f (x) > 0
- neither even nor odd
Answer
(A) even function
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