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Mathematics
Mathematics
Problem
Consider the function
h
(
x
)
=
5
2
x
3
−
5
x
2
+
4
x
−
1
h(x)=\dfrac{5}{2x^{3}-5x^{2}+4x-1}
h
(
x
)
=
2
x
3
−
5
x
2
+
4
x
−
1
5
. a. (i) Factor the denominator
2
x
3
−
5
x
2
+
4
x
−
1
2x^{3}-5x^{2}+4x-1
2
x
3
−
5
x
2
+
4
x
−
1
completely over the real numbers. b. (ii) Hence, state the domain of
h
h
h
.
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