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Consider the function y=f(x) satisfying ...

Consider the function `y=f(x)` satisfying the condition `f(x+(1)/(x))=x^(2)+(1)/(x^(2))(x ne 0).` Then the

A

`x^(2)-2` for all ` x ne 0`

B

`x^(2)-2` for all x satisfying `|x| ge2`

C

`x^(2)-2` for all x satisfying `|x| lt 2`

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-REAL FUNCTIONS -Exercise
  1. The function f(x)=log(10)((1+x)/(1-x)) satisfies the equation

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  2. Consider the function y=f(x) satisfying the condition f(x+(1)/(x))=x^(...

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  3. If f(x+2y,x-2y)=xy, then f(x, y) equals

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  4. If f(x)=x-(1)/(x), x ne 0 then f(x^(2)) equals.

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  5. A polynomial function f(x) satisfies the condition f(x)f((1)/(x))=f...

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  6. The function f(x) = "max"{(1-x), (1+x), 2}, x in (-oo, oo) is

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  7. If f(x)=x^(3)-x and phi (x)= sin 2x , then

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  8. Let f(x)=min{x,x^2}, for every x in R. Then

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  9. The domain of the function f(x) given by f(x)=(sqrt(4-x^(2)))/(sin^(-1...

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  10. The domain of the function f(x)=sqrt({(-log0.3(x-1))/(-x^2+3x+18)})...

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  11. The domain of the function f(x)=[log(10)((5x-x^(2))/(4))]^(1//2) is

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  12. If f : R -> R is defined by f(x) = 1 /(2-cos3x) for each x in R then t...

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  13. If the function f: RvecA given by f(x)=(x^2)/(x^2+1) is surjection, th...

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  14. The domain of definition of the function f(x)=(1)/(sqrt(|x|+x)) is

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  15. The set of values of x for which the function f(x)=(1)/(x)+2^(sin^(...

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  16. The function f(x)=log(10)(x+sqrt(x^(2))+1) is

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  17. The function f(x)=cos (log (x+sqrt(x^(2)+1))) is :

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  18. f(x)=sqrt(sin^(- 1)(log2x)) Find the domain

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  19. The function f(x)=sqrt(cos (sin x))+sin^(-1) ((1+x^(2))/(2x)) is defin...

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  20. The function f(x)=|cos| is periodic with period

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