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If 2f(x)=f(x y)+f(x/y) for all positive ...

If `2f(x)=f(x y)+f(x/y)` for all positive values of `x and y,f(1)=0 and f'(1)=1,` then `f(e)` is.

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ARIHANT MATHS-FUNCTIONS-Exercise (Single Integer Answer Type Questions)
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  7. If a+b = 3- cos 4 theta and a-b =4 sin 2theta, then ab is always less ...

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  8. Let 'n' be the number of elements in the domain set of the function f(...

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  9. If f(x) is a function such that f(x-1)+f(x+1)=sqrt(3)f(x) and f(5)=10,...

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  11. Let f be a function from the set of positive integers to the set of re...

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  15. L e t(e^x-e^(-x))/(e^x+e^(-x))=lnsqrt((1+x)/(1-x)),then find x.

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  16. If x is real , the maximum value of (3x^2+9x+17)/(3x^2+9x+7)"i s"

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  19. Let f:R rarr R and f(x)=(3x^(2)+mx+n)/(x^(2)+1). If the range of this ...

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