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Mathematics
Problem
Explain why, for a bijective function
f
f
f
, the composition
f
−
1
(
f
(
x
)
)
f^{-1}\!\bigl(f(x)\bigr)
f
−
1
(
f
(
x
)
)
equals
x
x
x
for every
x
x
x
in the domain of
f
f
f
.
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