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If f(x) in [1,2] where x in R and for a ...

If `f(x) in [1,2]` where `x in R` and for a fixed positive real number `p`, `f(x+p)=1+sqrt(2f(x)-{f(x)}^2)` for all `x in R` then prove that `f(x)` is a periodic function

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A DAS GUPTA-Function-Exercise
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  2. Period of |sinx+cosx| is

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  3. If f(x) in [1,2] where x in R and for a fixed positive real number p, ...

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  4. Let f (x ) and g(x) be increasing and decreasing functions respectivel...

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  5. Computer the inverse of the function : f(x) = (x + sqrt(x^(2) + 1))

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  6. If f(x)=1-x/(1+x), x not equal to -1 then f{f(1/x)}=

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  7. If f(x)=cos(logx), then f(x)f(y)-1/2[f(x/y)+f(xy)]=

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  8. If f(x)=(x+1)/x and phi(x)=(x^4+1)/(x^4) then phi(a)=-- where f(a)=5.

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  9. If f(x) is a polynomial function of the second degree such tha f(0)=5,...

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  10. If f(x+1)=x^(2)-3x+2 then f(x) is equal to

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  11. If f is an even function defined on the interval (-5,5), then four rea...

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  12. If f(x) is a periodic function of the period k then f(ax+b) is a perio...

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  13. The value of f(x)=3sin((pi^2)/(16)-x^2) lie in the interval

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  14. If f:RrarrR be a function given f(x)=sqrt1- sqrt(1-x^2) then the domai...

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  15. If the function f : [2,+prop)rarrX be bijective wheras f(x)= 5-4x+x^2 ...

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  16. Find the domain f(x)=log(100x)((2 log(10) x+1)/-x)

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  17. If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4=1, then (gof)(x...

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  18. If f(x)=(x+2)/(x-1)=y then

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  19. If f(x)=cos[pi^(2)]x+cos[-pi^(2)]x, where [x] stands for the greatest ...

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  20. Let f(x) = log(x + sqrt(x^2 +1)) , then f'(x) equals.

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