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Mathematics
Mathematics
Problem
Let
f
f
f
be a bijective function with inverse
f
−
1
f^{-1}
f
−
1
. Which of the following expressions is equal to
x
x
x
for all
x
x
x
in the appropriate domain? a)
f
−
1
(
f
(
f
(
x
)
)
)
f^{-1}\bigl(f(f(x))\bigr)
f
−
1
(
f
(
f
(
x
))
)
b)
f
(
f
−
1
(
x
)
)
f\bigl(f^{-1}(x)\bigr)
f
(
f
−
1
(
x
)
)
c)
f
(
f
(
x
)
)
f\bigl(f(x)\bigr)
f
(
f
(
x
)
)
d)
f
−
1
(
f
−
1
(
x
)
)
f^{-1}\bigl(f^{-1}(x)\bigr)
f
−
1
(
f
−
1
(
x
)
)
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