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Mathematics 41 Online
OpenStudy (anonymous):

Does all the function have an inverse? Find the inverse of f(x) = Cube root(3x-2).

OpenStudy (anonymous):

f(x) = cube root(3x-2)

OpenStudy (anonymous):

y=cube root(3x-2)

OpenStudy (anonymous):

No, To have an inverse of a function , should be one-to-one function and bijective function. y^3=3x-2 , (y^3+2)/3=x, change x and y , \[f ^{-1}(x)=(x ^{3}+2)/3\]

OpenStudy (anonymous):

bijective function?

OpenStudy (anonymous):

http://en.citizendium.org/wiki/Bijective_function

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