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The number or linear functions f satisfy...

The number or linear functions `f` satisfying `f(x+f(x))=x+f(x) AA x in RR` is

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ARIHANT MATHS-FUNCTIONS-Exercise (Single Integer Answer Type Questions)
  1. If f(x)=(2010x+165)/(165x-2010), x gt 0 " and " x ne (2010)/(165), the...

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  2. If alpha,beta,gamma in R, alpha+beta+gamma=4 " and " alpha^(2)+beta^(2...

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  3. The number or linear functions f satisfying f(x+f(x))=x+f(x) AA x in R...

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  4. If A={1,2,3}, B={1,3,5,7,9}, the ratio of number of one-one functions ...

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  5. If n(A)=4, n(B)=5 and number of functions from A to B such that range ...

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  6. If a and b are constants, such that f(x)=asinx+bxcosx+2x^(2) and f(2...

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  7. If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x), then the value ...

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  8. If f(x)=x^(3)-12x+p,p in {1,2,3,…,15} and for each 'p', the number of ...

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  9. The minimum value of the fuction f(x) given by f(x)=x^m/m+x^(−n)/n whe...

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  10. If x^(2)+y^(2)=4 then find the maximum value of (x^(3)+y^(3))/(x+y)

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  11. Let f(n) denotes the square of the sum of the digits of natural number...

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  12. If [sinx]+[x/(2pi)]+[(2x)/(5pi)]=(9x)/(10pi), where [*] denotes the gr...

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  13. The number of integral solutions of 1/x+1/y=1/6 " with " x le y " is "...

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  14. If f(x) is a polynominal of degree 4 with leading coefficient '1' sati...

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  15. If a+b = 3- cos 4 theta and a-b =4 sin 2theta, then ab is always less ...

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

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  17. Let f(x) be a function such that , f(x-1)+f(c+1)=sqrt(3)f(x), forall x...

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  18. If 2f(x)=f(x y)+f(x/y) for all positive values of x and y,f(1)=0 and f...

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

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  20. If f(x)=(x^(4)+x^(2)+1)/(x^(2)-x+1), the value of f(omega^(n)) (where ...

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