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

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

A

surjective but not injective

B

injective but not surjective

C

bijective

D

none of these

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-FUNCTIONS-Exercise
  1. If a funciton f:[2,oo] to B defined by f(x)=x^(2)-4x+5 is a bijection,...

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

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  3. 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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  4. 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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  5. The function f: NvecN(N is the set of natural numbers) defined by f(n)...

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

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  7. Let f:R to R be defined by f(x)=3x-4. Then, f^(-1)(x) is

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  8. f:R to R is a function defined by f(x)=10x -7, if g=f^(-1) then g(x)=

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

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

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

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

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

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

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  15. Let f: A to B; g: B to A be two functions such that fog = IB. Then; f ...

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  16. If f: AvecBa n dg: BvecC are one-one functions, show that gof is on...

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  17. If functions f:A to B and g : B to A satisfy gof= I(A), then show that...

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  18. Let f: A to B and g: B to C be two functions. Then; if gof is onto the...

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  19. If f: AvecBa n dg: BvecC are one-one functions, show that gof is on...

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  20. Let [x] denote the greatest integer less than or equal to x. If f(x)=s...

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