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Mathematics
Problem
The function
f
f
f
is defined on
0
≤
t
≤
4
0\le t\le 4
0
≤
t
≤
4
by
f
(
t
)
=
3
f(t)=3
f
(
t
)
=
3
for
0
≤
t
≤
2
0\le t\le 2
0
≤
t
≤
2
and
f
(
t
)
f(t)
f
(
t
)
decreases linearly from
3
3
3
at
t
=
2
t=2
t
=
2
to
0
0
0
at
t
=
4
t=4
t
=
4
. \nLet
g
(
x
)
=
∫
0
x
f
(
t
)
d
t
g(x)=\displaystyle\int_{0}^{x} f(t)\,dt
g
(
x
)
=
∫
0
x
f
(
t
)
d
t
. What is the value of
g
(
4
)
g(4)
g
(
4
)
? a)
6
6
6
b)
9
9
9
c)
12
12
12
d)
3
3
3
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