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The function f(x) = "max"{(1-x), (1+x), ...

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

A

`f(x)={{:(1-x,x le-1),(2,-1 lt x lt 1),(1+x, x ge1):}`

B

`f(x)={{:(1+x","x le-1),(2","-1 lt x lt 1),(1-x"," x ge1):}`

C

`f(x)={{:(1-x","x le-1),(1","-1 lt x lt 1),(1+x"," x ge1):}`

D

none of these

Text Solution

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-REAL FUNCTIONS -Exercise
  1. If f(x)=x-(1)/(x), x ne 0 then f(x^(2)) equals.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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