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Mathematics
Mathematics
Problem
For
h
(
x
)
=
2
x
−
3
x
+
4
h(x)=\dfrac{2x-3}{x+4}
h
(
x
)
=
x
+
4
2
x
−
3
with
x
≠
−
4
x\neq-4
x
=
−
4
, (i) obtain the formula for
h
−
1
(
x
)
h^{-1}(x)
h
−
1
(
x
)
, (ii) verify that
h
−
1
(
h
(
5
)
)
=
5
h^{-1}\bigl(h(5)\bigr)=5
h
−
1
(
h
(
5
)
)
=
5
.
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