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Mathematics
Mathematics
Problem
Point
A
A
A
with coordinates
(
1
,
5
)
(1, 5)
(
1
,
5
)
lies on the graph of the function
f
(
x
)
=
x
3
+
x
+
3
f(x) = x^{3} + x + 3
f
(
x
)
=
x
3
+
x
+
3
. Let
B
B
B
be the reflection of point
A
A
A
across the line
y
=
x
y = x
y
=
x
. Calculate the length of the line segment
A
B
AB
A
B
.
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