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Mathematics
Mathematics
Problem
Consider a linear function segment
f
(
x
)
f(x)
f
(
x
)
defined strictly on the domain
[
−
4
,
6
]
[-4, 6]
[
−
4
,
6
]
with endpoints at
A
(
−
4
,
2
)
A(-4, 2)
A
(
−
4
,
2
)
and
B
(
6
,
8
)
B(6, 8)
B
(
6
,
8
)
. If the function is transformed to
g
(
x
)
=
f
(
2
x
)
g(x) = f(2x)
g
(
x
)
=
f
(
2
x
)
, determine the new coordinates of the endpoints
A
′
A'
A
′
and
B
′
B'
B
′
.
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