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Mathematics
Mathematics
Problem
Let
p
(
x
)
=
5
x
+
7
2
−
3
x
p(x)=\dfrac{5x+7}{2-3x}
p
(
x
)
=
2
−
3
x
5
x
+
7
. a. (i) If
y
=
p
(
x
)
y=p(x)
y
=
p
(
x
)
, derive an expression for
x
x
x
in terms of
y
y
y
. b. (ii) Hence, obtain the range of
p
(
x
)
p(x)
p
(
x
)
, writing it in interval form.
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