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The function y=f(x) satisfying the cond...

The function `y=f(x)` satisfying the condition `f(x+1//x) =x^(3)+1//x^(3)` is:

A

`f(x) =x^(2)`

B

`f(x) = x^(2)-2`

C

`f(x) =x^(2)+2`

D

`f(x) = x^(3)-3x`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-FUNCTIONS -EXERCISE -II
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  2. If f: R to R is defined by: f(x-1) =x^(2) + 3x+2, then f(x-2)=

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  3. The function y=f(x) satisfying the condition f(x+1//x) =x^(3)+1//x^(3...

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  4. If f: N to Z is defined by: f(n) ={{:(2, if, n=3k, k in Z),(10-n, if...

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  5. If f(x) = cos(log x), then f(x^(2)) . f(y^(2)) -1/2[f(x^(2)y^(2)) +f...

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  6. If e^(f(x))=(10+x)/(10-x), x in (-10, 10) and f(x)=kf ((200x)/(100+x^(...

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  7. f(x) = log((1+x)/(1-x)) satisfies the equation: f(x(1)) +f(x(2))

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  8. If f(x) =|x-2| and g(x) = f(f(x)), then for x gt 20, g(x)=

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  9. If f(x) =|x|,g(x)=x then f(x) + g(x) is equal to:

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  10. If f(x) =x and g(x) =|x|, then f(x) + g(x) is equal to

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  11. If f(x)=x^(2) for xlt 0, f(x)=x for 0ltxlt1, f(x)=1//x for x gt1 then ...

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  12. Suppose f:[-2, 2] rarr RR is defined by f(x)={{:(-1" for "-2 le x le 0...

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  13. If g[f(x)]=|sinx|, f[g(x)]=(sinsqrtx)^(2) then

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  14. If f(x) = cos|e^(2)| x + cos[-e^(2)]x where [x] stands for greatest in...

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  15. If f:RR rarr RR is defined by f(x)=x-[x] -(1)/(2)" for "x in RR, where...

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  16. Let g(x) =1+x-[x] and f(x) ={{:(-1, if, x lt 0),(0, if, x=0),(1, if, x...

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  17. If f: R to R and g: R to R are defined by f(x) =x-[x] and g(x) =[x] A...

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  18. If f(x)=[x], g(x)=x-[x] then which of the following functions is the z...

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  19. If f : R to R and g: R to R are given by f(x) =|x| and g(x) =[x] for e...

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  20. f(x) = {{:([x], if, -3 lt x le -1),(|x|, if, -1 lt x lt 1),(|[-x]|, if...

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