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Mathematics
Mathematics
Problem
Let
h
(
x
)
=
5
x
2
x
2
+
4
x
+
5
h(x)=\dfrac{5x}{2x^{2}+4x+5}
h
(
x
)
=
2
x
2
+
4
x
+
5
5
x
. a. (i) Calculate the discriminant of the quadratic denominator
2
x
2
+
4
x
+
5
2x^{2}+4x+5
2
x
2
+
4
x
+
5
. b. (ii) Deduce whether the denominator has any real zeros. c. (iii) State the domain of
h
(
x
)
h(x)
h
(
x
)
, supporting your conclusion with clear reasoning.
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