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Mathematics
Mathematics
Problem
Given
p
(
x
)
=
x
3
−
4
x
2
+
4
x
x
2
−
4
x
+
4
p(x)=\dfrac{x^{3}-4x^{2}+4x}{x^{2}-4x+4}
p
(
x
)
=
x
2
−
4
x
+
4
x
3
−
4
x
2
+
4
x
, perform the tasks below: (i) Simplify
p
(
x
)
p(x)
p
(
x
)
wherever it is defined. (ii) State the coordinates of the point removed from the graph of
p
p
p
. (iii) Write the range of
p
p
p
, indicating any
y
y
y
-value that is excluded.
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