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Mathematics
Mathematics
Problem
Let
g
(
x
)
=
x
+
sin
x
g(x)=x+\sin x
g
(
x
)
=
x
+
sin
x
for
0
≤
x
≤
2
π
0\le x\le 2\pi
0
≤
x
≤
2
π
. How many values of
c
c
c
in
(
0
,
2
π
)
(0,2\pi)
(
0
,
2
π
)
satisfy
g
(
c
)
g(c)
g
(
c
)
equal to the average value of
g
g
g
on
[
0
,
2
π
]
[0,2\pi]
[
0
,
2
π
]
? a)
0
0
0
b)
3
3
3
c)
1
1
1
d)
2
2
2
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