friedchicken01 friedchicken01

20-07-2018
Mathematics

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Find the inverse of the function.f(x) = 2x^3 - 4

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konrad509 konrad509

20-07-2018

[tex] f(x) = 2x^3 - 4 \\\\
y = 2x^3 - 4 \\
2x^3=y+4\\
x^3=\dfrac{y+4}{2}\\
x=\sqrt[3]{\dfrac{y+4}{2}}\\\\
f^{-1}(x)=\sqrt[3]{\dfrac{x+4}{2}} [/tex]

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