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statuscvo [17]
4 years ago
13

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

Mathematics
1 answer:
TEA [102]4 years ago
8 0

Let y = F^{-1}(x) and F(y) = x

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}}

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