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Q) Show that 𝑓:𝑅_+→[−5,∞) given by 𝑓(𝑥)=4𝑥^2+4𝑥−5 is both one-one and onto where 𝑅_+=[0,∞).

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Q) Let A = R – {5} and B = R – {1}. Consider the function f: A → B, defined by f(x) = (𝑥−3)/

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Given a non-empty set X, define the relation R in P(X)as follow: For A, B ∈ 𝑃(X), (A, B) ∈ R iff A

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