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The function f(x)= cos{log(10)(x+sqrt(x^...

The function `f(x)= cos{log_(10)(x+sqrt(x^(2)+1)}` , is

A

even

B

odd

C

constant

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-REAL FUNCTIONS -Exercise
  1. The set of values of x for which the function f(x)=(1)/(x)+2^(sin^(...

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

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  3. The function f(x)= cos{log(10)(x+sqrt(x^(2)+1)} , is

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  4. f(x)=sqrt(sin^(- 1)(log2x))

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  5. The function f(x)=sqrt(cos(sinx))+sin^-1((1+x^2)/(2x)) is defined for ...

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

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

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  8. the period of the f(x)=sin^4x+cos^4x is

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  9. Which of the following functions is the inverse of itself? f(x)=(1-x)/...

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

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

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

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  13. Given f(x)=log(10)((1+x)/(1-x)) and g(x)=(3x+x^(3))/(1+3x^(2)), then f...

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

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

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

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  17. Which of the following functions is periodic ?

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  18. Let the function f(x)=x^(2)+x+sinx- cosx+log(1+|x|) be defined on the ...

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  19. The domain of definition of the function f(x)=(7- x)P(x-3) , is

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  20. The range of function f(x)=^(7-x)P(x-3)i s {1,2,3} (b) {1,2,3,4,5,...

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