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If f(x) =cos[pi^2]x + cos[-pi^2]x, where...

If f(x) =`cos[pi^2]x + cos[-pi^2]x`, where [x] stands for the greatest integer function, then find `f(pi/2),f(pi/4)`.

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PATHFINDER-FUNCTIONS-QUESTION BANK
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  3. If f(x) =cos[pi^2]x + cos[-pi^2]x, where [x] stands for the greatest i...

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  8. Find the range of the function phi where phi(x) = cos^-1 (x^2/(1 + x^2...

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  10. Find the range of the function y = log3 (5 + 4x - x^2).

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  11. If f(x + y) = f(x) - f(y),forall x, y in R, then show that f(3) = f(1)

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  12. Find the range of the function f(x) = (e^x - e^-x).

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  15. Find domain of the function f(x) = 2^sin^(-1)x + 1/sqrt(x - 2).

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  16. Prove that the domain of g(x) =cot^-1 x/sqrt(x^2 - [x]) , x in R is R ...

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  18. Find the range of the function y = log2 (sin x + cos x + 3sqrt2)/sqrt2

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  19. Find the value of x which f(x) = 1/sqrt(absx - x) is not defined.

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  20. Find the range of y=x/(1 + x^2)

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