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If 2f(x^2)+3f(1/x^2)=x^2-1, then f(x^2) ...

If `2f(x^2)+3f(1/x^2)=x^2-1`, then `f(x^2)` is

A

`(1-x^(4))/(5x^(2))`

B

`(1- x^(2))/(5x)`

C

`(5x^(2))/(1-x^(4))`

D

`(3- x^(2) - 2x^(4))/(5x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - B) Objective Type Questions (one option is correct)
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  2. If f(x + y, x-y) = xy then the arithmetic mean of f(x, y) and f(y, x) ...

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  3. If 2f(x^2)+3f(1/x^2)=x^2-1, then f(x^2) is

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  4. The maximum number of values of x satisfying |x-2| + |x-4| = 2 is

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  5. The value of x if 0 le |2x + 3| le 3 belongs to

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  6. If |x + 4| + |x-4|=2|x| and |x+1|+|5-x|=6 then x belongs to

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  7. If [] and {} represents the greatest integer function and fractional f...

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  8. If f(x) = cos [pi]x + cos [pi x], where [y] is the greatest integer fu...

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  9. Range of function (1)/(3- sin 3x) is

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  10. If -1 le [2x^2 -3] lt 2, then x belongs to

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  11. Range of f(x) = (x+2)/(|x+2|)

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  12. If f(x) = log ((1+x)/(1-x)), then f((2x)/(1+x^(2))) is equal to

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  13. The domain of f(x) = log |x| + 1/sqrt|x| + 1/log|x| is R - A where A i...

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  14. The largest set of real values of x for which f(x)=sqrt((x + 2)(5-x))...

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  15. The domain of the function f(x) = (x^(2) + 1)/(ln (x^(2) + 1)) is

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  16. The domain of definition of the function f(x) = log(3//2) log(1//2) lo...

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  17. The domain of the function f(x) = sqrt(log(10) cos (2pi x)) is

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  18. Domain of log([x+1]) (x-1) is ( [.] represents greatest integer func...

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  19. Range of the f(x) = (e^(x) - 1)/(e^(x) + 1)

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  20. The domain of the function f(x)=sqrt(x^2-[x]^2) , where [x] is the gre...

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