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The function f(x)=log(x+sqrt(x^(1)+1)) i...

The function `f(x)=log(x+sqrt(x^(1)+1))` is

A

neither an even nor an old function

B

an even function

C

an odd function

D

a periodic function

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Verified by Experts

The correct Answer is:
C
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DISHA PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE - 1
  1. If f(x)=(x)/(x-1), then what is (f(a))/(f(a+1)) equal to?

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  2. If phi(x)=a^x, then [phi(p)]^3 is equal to:

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

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  4. The domain of the function f(x) = (|x+3|)/(x + 3) is

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  5. If 3 f(x) - f((1)/(x) ) = log x^(4) , then f(e^(-x)) is

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  6. If f(x) = x^(3) - (1)/(x^(3)) then f (x) + f((1)/(x)) is equal to

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  7. Is g={(1,1),(2,3),(3,5,),(4,7)} a function? If this is described by th...

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  8. If f(y) = 2y^(2) + by + c and f(0) = 3 and f(2) = 1, then the value of...

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  9. The domain of definition of the function y=(1)/(log(10)(1-x))+sqrt(x...

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  10. Let f = {(1, 1),(2,3),(0,-1), (-1,-3)} be a linear function from Z int...

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  11. If f(x) = (1)/(sqrt( (x+1) (e^(x) - 1)(x-4)(x +5)(x -6))), then the do...

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  12. If f and g are two functions defined as f (x) = x + 2, x le 0 , g (x)...

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  13. If f(x+1)=x^(2)-3x+2 then f(x) is equal to

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  14. f(x) = (x (x-p))/(q - p) + (x (x - q))/(p - q) , pneq. What is the val...

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  15. If [x]^2-5[x]+6=0, where [.] denotes the greatest integer function, th...

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  16. The domain of the function f(x) =(1)/(sqrt(|x|-x)), is

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  17. If f(x)=xandg(x)=|x|, then what is (f+g)(x) equal to ?

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  18. If f(x) = e^(-x), then (f (-a))/(f(b)) is equal to

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  19. If P={x in R : f(x)=0} and Q={x in R : g(x)=0 }, then PuuQ is

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  20. The domain of the function f(x) = (|x + 3|)/(x + 3) is

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