In general:
f ( f −1 (x) ) = x
f −1 ( f (x) ) = x
In particular:
ex and ln x
10x and log x
sin x and sin -1 x = arcsin x, etc.
xn and n√x = x1/n
x2 and √x = x1/2
x3 and 3√x = x1/3
Inverses can be verified with the general identities above, or by construction (finding the inverse and comparing with the candidate function for being an inverse). Constructing an inverse means swapping x and y and solving for the "new" y.
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