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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
3
+
2
x
+
1
f(x)=x^{3}+2x+1
f
(
x
)
=
x
3
+
2
x
+
1
for all real
x
x
x
. Given that
f
(
1
)
=
4
f(1)=4
f
(
1
)
=
4
, determine
(
f
−
1
)
′
(
4
)
(f^{-1})'(4)
(
f
−
1
)
′
(
4
)
.
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