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08-10-2020
Mathematics

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F(x)=4x^2-1 what is the inverse

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cromulent cromulent

08-10-2020

Let [tex]y = F^{-1}(x)[/tex] and [tex]F(y) = x[/tex]

[tex]4y^2 - 1 = x\\4y^2 = x + 1\\y^2 = \frac{x + 1}{4}\\y = \sqrt{\frac{x + 1}{4}}\\f^{-1} = \sqrt{\frac{x + 1}{4}}[/tex]

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