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Mathematics
Problem
Consider the function
g
(
t
)
=
∣
t
−
1
∣
+
1
2
(
t
+
3
)
g(t)=|t-1|+\tfrac12\,(t+3)
g
(
t
)
=
∣
t
−
1∣
+
2
1
(
t
+
3
)
defined for
−
3
≤
t
≤
5
-3\le t\le 5
−
3
≤
t
≤
5
. Find the value of
t
t
t
at which
g
g
g
attains its minimum on this interval.
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