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Mathematics
Problem
Let
f
(
x
)
=
e
2
x
+
x
f(x)=e^{2x}+x
f
(
x
)
=
e
2
x
+
x
for all real
x
x
x
. Determine the value of
(
f
−
1
)
′
(
1
)
(f^{-1})'(1)
(
f
−
1
)
′
(
1
)
. a)
1
2
e
\dfrac{1}{2e}
2
e
1
b)
1
3
\dfrac{1}{3}
3
1
c)
3
3
3
d)
1
2
\dfrac{1}{2}
2
1
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