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Find whether f(x) = x + cos x is one-one...

Find whether `f(x) = x + cos x` is one-one.Identify whether the function `f(x) =-x^3 + 3x^2-2x + 4` for `f : R -> R` is ONTO or INTO

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(i) Find whether f(x)=x+cosx is one-one. (ii) Identify whether the function f(x)=-x^(3)+3x^(2)-2x+4 for f:RtoR is ONTO or INTO (iii) f(x)=x^(2)-2x,[0,3]toA . Find whether f(x) is injective or not. Also find the set A if f(x) is surjective

(i) Find whether f(x)=x+cosx is one-one. (ii) Identify whether the function f(x)=-x^(3)+3x^(2)-2x+4 for f:RtoR is ONTO or INTO (iii) f(x)=x^(2)-2x,[0,3]toA . Find whether f(x) is injective or not. Also find the set A if f(x) is surjective

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