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If f: R to R is defined by f(x) =x-[x], ...

If `f: R to R` is defined by `f(x) =x-[x]`, then the inverse function `f^(-1)(x)`=

A

`1/(x-[x])`

B

`[x]=x`

C

`x+[x]`

D

not defined

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-FUNCTIONS -EXERCISE -II
  1. If f:[1, infty) to [2, infty) is given by f(x) =x+1/x, then f^(-1)(x)=

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  2. If f:[1,infty) to [1, infty) is defined by f(x) =2^(x(x+1)) then f^(-1...

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  3. If f: R to R is defined by f(x) =x-[x], then the inverse function f^(-...

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  4. Suppose f(x) =(x+1)^(2) for x ge -1. If g(x) is the function whose gr...

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  5. Let f(x) =(x+1)^2-1,x ge -1 then {x: f(x) =f^(-1)(x) } =

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  6. {x in RR:(2x-1)/(x^(3)+4x^(2)+3x) in RR}=

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  7. The domain of (1)/(sqrt(x-x^(2)))+sqrt(3x-1-2x^(2)) is

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  8. Domain of the real valued function: sqrt(25-9x^(2)) + sqrt(x^(2) + x...

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  9. The domain of f(x) = sqrt((x-3)/(x+3)) + sqrt((2-x)/(2+x)) is

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  10. The domain of f(x) =1/sqrt((x-1)(x-2)(x-3)) is

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  11. The domaini of sqrt((2x+1)/(2x^(3) + 3x^(2) +x)) is:

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  12. The domain of the function f(x)=sqrt([(2x-1)/(x^(2)-10x-11)]) is

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  13. A is the domain of f(x) =1/sqrt(|x|-x) and B is the domain of g(x) = s...

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  14. The domain of f(x) = sqrt(x^(2)-4|x|+3) is

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  15. The domain of the function sqrt((1)/(|cosx|)) is

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  16. Domain of sqrt(x^(2)-[x]^(2)) is:

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  17. The domain of x^((1)/(logx)) is

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  18. The domain of: f(x) =log((x-5)/(x^(2)-10x + 24)) - root(3)(x+5) is:

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  19. The domain of (1)/(log|x|) is

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  20. The domain of log [((sqrt(4-x)^(2)))/(1-x)] is

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