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Which of the following functions is the inverse of itself? (a) `f(x)=(1-x)/(1+x)` (b) `f(x)=5^(logx)` (c) `f(x)=2^(x(x-1))` (d) None of these

A

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

B

`g(x)=5^(logx)`

C

`h(x)=2^(x(x-1))`

D

none of these

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A
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OBJECTIVE RD SHARMA ENGLISH-REAL FUNCTIONS -Exercise
  1. If a funciton f(x) is defined for x in [0,1], then the function f(2x+...

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

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

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

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

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

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

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

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

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  11. Which of the following function is periodic ?

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

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

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

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  15. The domain of f(x)=cos^(-1)((2-|x|)/4)+[ log(3-x)]^-1 is (a)[-2,6] ...

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  16. If D is the set of all real x such that 1-e^((1)/(x)-1) is positive , ...

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  17. Which of the following functions has period 2pi ?

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  18. If f(x)=a^x, which of the following equalities do not hold ? (i) f(...

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  19. The interval in which the function y = f(x) = (x-1)/(x^2-3x+3) transfo...

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  20. Let f(x)=|x-1|. Then,

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