Question

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

Answer 1

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

Answer 2

y=cube root(3x-2)

Answer 3

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 ,
\[f ^{-1}(x)=(x ^{3}+2)/3\]

Answer 4

bijective function?

Answer 5

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