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If f: R rarr R, f(x)= (4^(x))/(4^(x) + ...

If `f: R rarr R, f(x)= (4^(x))/(4^(x) + 2)` then,

A

`f(x)= f(1-x)`

B

`f(x)+ f(1-x) = 0`

C

`f(x) + f(1-x)= 1`

D

`f(x)+ f(x-1)= 1`

Text Solution

Verified by Experts

The correct Answer is:
C
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS-Textbook based MCQs
  1. Out of the following which is not function?

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  2. Out of the following which is a function?

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  3. If f: R rarr R, f(x)= (4^(x))/(4^(x) + 2) then,

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  4. Domain of the function defined by f(x)= sqrt(4x-x^(2)) is……

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  5. Domain of the function defined by f(x)= sqrt(5|x|)=x^(2)-6 is…….

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  6. Range of f(x)= (x^(2)-x)/(x^(2)+ 2x) is …….

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  7. Range of the function f(x)= (x^(2) + x + 2)/(x^(2) + x + 1) is……

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  8. f(x)= bx^(2) + cx and d and f(x+ 1) - f(x)= 8x + 3 then…….

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  9. f(x)= 2x^(n) + a. If f(2)= 26 and f(4)= 138 then the value of f(3) is…...

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  10. Domain of the function defined by f(x)= sqrt(x-1) + sqrt(3-x) is…..

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  11. Range of the function f(x)= (x+2)/(|x+2|), x ne -2 is……

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  12. If 2f (x)- 3f((1)/(x))= x^(2) (x ne 0) then f(2)= ……

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  13. The graph of an identity function I(R ): R rarr R is………

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  14. Range of the function f: R rarr R, f(x)= x^(2) is………

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  15. If f: R rarr R, f(x)= x-2, g: R rarr R, g(x)= x + 2 then (f+ g) (x)= …...

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  16. f(x)= x, g(x)= (1)/(x) and h(x)= f(x) g(x). If h(x) = 1 then…….

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  17. If f(x)= (x-3)/(x + 1) then f[f {f(x)}]= …….

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  18. If f(x)= 64 x^(3) + (1)/(x^(3)) and alpha and beta are roots of the e...

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  19. Range of greatest integer function is…….

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  20. f(x)= 3x^(2)-1 and g(x)= 3 + x. If f= g then the value of x is…….

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