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The domain of definition of f(x) =sqrt(l...

The domain of definition of f(x) =`sqrt(log_e ((4x - x^2)/3))` is

A

`0 lt x lt 3`

B

`x gt 1`

C

`1 le x le 3`

D

`x lt 3`

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The correct Answer is:
C
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PATHFINDER-FUNCTIONS-QUESTION BANK
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  3. The domain of definition of f(x) =sqrt(loge ((4x - x^2)/3)) is

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  10. The range of the function f(x)=1/(4 + 2 sinx) is

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  11. Domain of definition of f(x) =sin^-1 ((3 - 2x)/5)

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  12. If f(x)=(Kx)/(1 + x), x ne -1 and f{f(x)} = x, then the value of k

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  13. If f(x) + 2f(1 - x) =x^2 + 2, forall x in R, then f(x) is

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  14. Let f : (-infty,1] rarr (-infty, 1] such that f(x) = x(2 -x), then f^-...

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  17. Find domain of f(x) = sqrt(1 - sqrt(1-sqrt(1 - x^2))).

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  18. If f(x) = sin x + cos x , g(x) =x^2 - 1 then show that g(f(x)) is inve...

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  19. If f(x) = 4^x/(4^x + 2), then find f(x) + f(1 - x).

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  20. If 2f(x) - 3f(1/x) =x^2 (x ne 0), then find f(2).

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