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Q) Show that a function f: R → R defined by f(x) = 2𝑥/(1+𝑥^2 ) is neither one-one nor onto.

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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Q) Check whether :Z×Z→Z×Z (where Z is the set of integers) defined as f(𝑥,y)=(2y,3𝑥) is injective

Q) Show that the function 𝑓:𝑅→𝑅 defined by 𝑓(𝑥)=4𝑥^3−5,∀𝑥∈𝑅 is one-one and onto