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A function satisfies the conditions f(x+...

A function satisfies the conditions `f(x+y)=f(x) + f(y), AA x, y in R ` then f is

A

an even function

B

an odd function

C

neither even or odd

D

none of these

Text Solution

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The correct Answer is:
B
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PATHFINDER-FUNCTION-QUESTION BANK
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  10. If a, b be two fixed positive integers such that f(a+x)=b+[b^3+1-3b^2 ...

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  18. Let f(1)=1 and f(n)=2overset(n-1)underset(r=1)sum f( r ). Then overset...

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  19. Given f(x) = In {(1+x)/(1-x)} and g(x)={(3x+x^3)/(1+3x^2)}. Then f(g(x...

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