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If f(x + y) = f(x) +f(y), then the value...

If f(x + y) = f(x) +f(y), then the value of f(0)

A

a) -1

B

b) 0

C

c) 1

D

d) None of these

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The correct Answer is:
B
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PATHFINDER-FUNCTIONS-QUESTION BANK
  1. The function x and x^2/x are identical for

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  2. The inverse function of loge x is

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  3. If f(x + y) = f(x) +f(y), then the value of f(0)

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  4. If the function f(x) satisfies the condition f(x + 1/x) = x^2 + 1/x^2,...

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  5. The domain of definition of f(x) =sin^-1(log3 x/3) is

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  6. The domain of definition of f(x) =sqrt(loge ((4x - x^2)/3)) is

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  7. The range of the function f(x) = sin x + cos x is

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  8. If f(x) = (a^x + a^-x)/2, (a gt 2) then the value of f(x + y)+f(x - y...

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  9. If f(x) = 1/(1-x), then f[f{f(x)}] is

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  10. If f(x) =x^2 and g(x) = sqrtx, then the correct relation will be

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  11. If f(x) = (e^x -e^-x)/(e^x +e^-x) + 2, then the inverse function will ...

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  12. If f(x + 2) = 2x^2 + 5x + 7 , then the value of f(1)

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  13. The range of the function f(x)=1/(4 + 2 sinx) is

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  14. Domain of definition of f(x) =sin^-1 ((3 - 2x)/5)

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  15. If f(x)=(Kx)/(1 + x), x ne -1 and f{f(x)} = x, then the value of k

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  16. If f(x) + 2f(1 - x) =x^2 + 2, forall x in R, then f(x) is

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  17. Let f : (-infty,1] rarr (-infty, 1] such that f(x) = x(2 -x), then f^-...

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  18. Let f be a function such that f(x + y) = f(x) + f(y) forall x , y in R...

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  19. f is a function such that f(x + y) = f(x) .f(y),forall x, y in R , if ...

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  20. Find domain of f(x) = sqrt(1 - sqrt(1-sqrt(1 - x^2))).

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