Function Properties – Injective check and calculating inverse function – Exercise 5782

Exercise

Given the function

y=(2x−12x+1)3y={(\frac{2x-1}{2x+1})}^3

Is the function injective? Find its inverse function.

Final Answer

Function is injective

f−1(x)=x3+12−2x3f^{-1}(x)=\frac{\sqrt[3]{x}+1}{2-2\sqrt[3]{x}}

Solution

Coming soon…

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