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Does all the function have an inverse? Find the inverse of f(x) = Cube root(3x-2).
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f(x) = cube root(3x-2)
y=cube root(3x-2)
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 , \[f ^{-1}(x)=(x ^{3}+2)/3\]
bijective function?
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