What does 0.63 x - 41 equal

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Ответ:

hayesvolcano

05.06.2020

Mathematics

The inverse of the function is $f^{-1}(x) =\sqrt[5]{\frac{x-7}{3}}$

Step-by-step explanation:

The steps to get the inverse of a function are:

Replace f(x) with y Replace every x by y and every y by xSolve the new equation from for yReplace y with $f^{-1}(x)$

∵ $f(x)=3x^{5}+7$

- Replace f(x) by y

∴ $y=3x^{5}+7$

- Replace every x by y and every y by x

∴ $x=3y^{5}+7$

- Subtract 7 from both sides

∴ $x-7=3y^{5}$

- Divide both sides by 3

∴ $\frac{x-7}{3}=y^{5}$

- Insert fifth root for both sides

∴ $\sqrt[5]{\frac{x-7}{3}}=y$

- Switch the two sides

∴ $y=\sqrt[5]{\frac{x-7}{3}}$

- replace y by $f^{-1}(x)$

∴ $f^{-1}(x) =\sqrt[5]{\frac{x-7}{3}}$

The inverse of the function is $f^{-1}(x) =\sqrt[5]{\frac{x-7}{3}}$

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What does 0.63 x - 41 equal​