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If the function f: RvecA given by f(x)=(...

If the function `f: RvecA` given by `f(x)=(x^2)/(x^2+1)` is surjection, then find `Adot`

A

R

B

[0,1]

C

(0,1]

D

[0,1)

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-REAL FUNCTIONS -Exercise
  1. The domain of the function f(x)=[log(10)((5x-x^(2))/(4))]^(1//2) is

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

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

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

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

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

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

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

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

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

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  11. If a funciton f(x) is defined for x in [0,1], then the function f(2x+...

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  12. The period of the function f(x)=sin^(4)x+cos^(4)x is:

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  13. Which of the following functions is the inverse of itself? (a) f(x)=(1...

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  14. If f(-x)=-f(x) , then f(x) is

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  15. The value of f(x)=3sin((pi^2)/(16)-x^2) lie in the interval

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  16. If f(x) =(x-1)/(x+1)," then f(2x) is:"

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  17. If f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2)) , then f(g(x)) i...

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  18. If f(x)=2x^(6)+3x^(4)+4x^(2) , then f'(x) is

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  19. If f(x) is an even function, then the curve y=f(x) is symmetric about

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  20. If f(x) is an odd function, then the curve y=f(x) is symmetric

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