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If f(x)={x ,xi sr a t ion a l1-x ,xi si ...

If `f(x)={x ,xi sr a t ion a l1-x ,xi si r r a t ion a l ,t h e nf(f(x))` is `xAAx in R` (b) `{x , xi si r r a t ion a l1-x ,xi sr a t ion a l` `{x ,xi sr a t ion a l1-x ,xi si r r a t ion a l` (d) none of these

A

constant

B

1+x

C

x

D

none of these

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-FUNCTIONS-Exercise
  1. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to ...

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  2. Which of the following functions is not an are not an injective map(s)...

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  3. If f(x)={x ,xi sr a t ion a l1-x ,xi si r r a t ion a l ,t h e nf(f(x)...

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  4. Let f (x) =x and g (x) = |x| for all . Then the function satisfying ...

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  5. about to only mathematics

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  6. If f(x)=(ax^(2)+b)^(3), the function g such that f(g(x))=g(f(x)), is g...

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  7. If a function f:[2,oo)toR is defined by f(x)=x^(2)-4x+5, then the rang...

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  8. The function f : R -> R is defined by f (x) = (x-1) (x-2) (x-3) is

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  9. Let A={x,y,z}=B={u,v,w) and f:A to B be defined by f (x)=u, f(y)=v, f(...

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  10. If f:R->R be defined by f(x)=x^2+1, then find f^(-1)(17) and f^(-1)(-3...

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  11. The function f: NvecN(N is the set of natural numbers) defined by f(n)...

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  12. The composite mapping fog of the maps f:R to R , f(x)=sin x and g:R to...

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  13. If function f:RtoR is defined by f(x)=3x-4 then f^(-1)(x) is given by

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  14. f : R rarr R is a function defined by f (x) = 10 x - 7. If g = f^(-1),...

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  15. Let A={x in R : xlt=1} and f: A->A be defined as f(x)=x(2-x) . Then, ...

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  16. If f(x)=x^n , n in Nandgof(x)=ng(x) then g(x) can be

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  17. If the function f: R->R be such that f(x)=x-[x] , where [x] denotes th...

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  18. f:R to R given by f(x)=5-3 sin x, is

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  19. Let f:A->B be a function defined by f(x) =sqrt3sin x +cos x+4. If f is...

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  20. Let f: A to B; g: B to A be two functions such that gof = IA. Then; f ...

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