If f : R -> A, given by f(x) = x2– 2x + 2 is onto function, find set A. 

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Please find below the solution to the asked query:

We havefx=x2-2x+2=x2-2x+1+1fx=x-12+1Minimum value occurs when perfect square term becomes 0 i.e. at x=1fxmin=0+1=1Max value will tend toward .Hence range is [1,)Codomain=AFor onto functionCodomain=RangeA=[1,)

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  • 7
Kindly write your correct question. There is no sign of constant term
  • -3
If comstant term is -ve ans is [-3, infinity)
If constant term is +ve ans is [1, infinity)
  • -4
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