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

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

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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The Simplest Method to Solve Factorial I Math Wali Class #mathtricks #shorts #factorial

x² = 4 VS x = √16, Value of x ?