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An even polynomial function f(x) satisfi...

An even polynomial function `f(x)` satisfies a relation `f(2x)(1-f(1/(2x)))+f(16x^2y)=f(-2)-f(4x y) \ AAx ,y in R-{0}` and `f(4)=-255 ,f(0)=1.` Then the value of `|(f(2)+1)//2|` is_________

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Find the period of "cos"(cosx)+cos(sinx)dot

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  2. Draw the graph of y=tan(3x).

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  3. An even polynomial function f(x) satisfies a relation f(2x)(1-f(1/(2x)...

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  4. For what integral value of n is 3 pi the period of the function cos(n ...

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  5. If a , b and c are non-zero rational numbers, then the sum of all the ...

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  6. Find the range of f(x)=(2sin^2x+2sinx+3)/(sin^2x+sinx+1)

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  7. Identify the following functions whether odd or even or neither: f(x)=...

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  8. Find the range of f(x)=1/(1-3sqrt(1-sin^2x))

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  9. Let f: RrarrRa n dg: RrarrR be two one-one and onto function such tha...

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  10. If f(x)=cos |x|+[|sin x/2|] (where [.] denotes the greatest integer fu...

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  11. If x in [1,2], then find the range of f(x)=tan x.

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  12. If f(x)=(-1)^([2/pi]),g(x)=|sinx|-|cosx|,a n dvarphi(x)=f(x)g(x) (wher...

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  13. Which of the following function is (are) even, odd, or neither? (a). ...

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  14. Find the number of solutions of the equation sinx=x^(2)+x+1.

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  15. Let f(x)=sgn(cot^(-1)x)+tan((pi)/(2)[x]), where [x] is the greatest in...

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  16. Identify the following functions whether odd or even or neither even n...

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  17. Find the range of f(x)=sin^2x-sinx+1.

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  18. Suppose that f is an even, periodic function with period 2, and f(x)=x...

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  19. Find the period f(x)=sinx+{x}, where {x} is the fractional part of xdo...

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  20. Find the range of f(x)=1/(2cosx-1)

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