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Mathematics
Problem
Let
f
(
x
)
=
2
x
+
1
x
−
2
f(x)=\dfrac{2x+1}{x-2}
f
(
x
)
=
x
−
2
2
x
+
1
and
h
(
u
)
=
1
u
−
3
h(u)=\dfrac{1}{\sqrt{u}-3}
h
(
u
)
=
u
−
3
1
. Answer the following: (a) Find the domain of
f
f
f
. (b) For which real numbers
u
u
u
is
h
(
u
)
h(u)
h
(
u
)
defined? (c) Hence obtain the complete domain of the composite function
(
h
∘
f
)
(
x
)
(h\circ f)(x)
(
h
∘
f
)
(
x
)
, and write your answer in interval notation.
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