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Mathematics
Problem
Suppose that
f
(
0
)
=
0
f(0)=0
f
(
0
)
=
0
and
f
′
(
0
)
=
2
f'(0)=2
f
′
(
0
)
=
2
, and let
g
(
x
)
=
f
(
x
)
+
f
(
f
(
x
)
)
g(x)=f(x)+f(f(x))
g
(
x
)
=
f
(
x
)
+
f
(
f
(
x
))
. The value of
g
′
(
0
)
g'(0)
g
′
(
0
)
is equal to .....
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