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Expanding Binomial Expressions 🥶 PART 1

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

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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

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Q) Consider the quadratic equation (n^2−2n+2) x^2−3x+(n^2−2n+2)^2=0, n∈R. Let 𝛼 be the minimum