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Mathematics
Mathematics
Problem
Compare the
x
x
x
-intercepts of two functions:
g
(
x
)
=
f
(
2
x
−
6
)
g(x) = f(2x - 6)
g
(
x
)
=
f
(
2
x
−
6
)
and
h
(
x
)
=
f
(
2
(
x
−
6
)
)
h(x) = f(2(x - 6))
h
(
x
)
=
f
(
2
(
x
−
6
))
. If
f
(
x
)
f(x)
f
(
x
)
has a unique root at
x
=
0
x = 0
x
=
0
, find the distance between the root of
g
(
x
)
g(x)
g
(
x
)
and the root of
h
(
x
)
h(x)
h
(
x
)
.
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