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Mathematics
Problem
Given
f
:
x
→
5
x
−
2
f : x \rightarrow 5x - 2
f
:
x
→
5
x
−
2
and
h
:
x
→
3
x
4
h : x \rightarrow \frac{3x}{4}
h
:
x
→
4
3
x
, show that
(
f
−
1
∘
h
−
1
)
(
x
)
=
(
h
∘
f
)
−
1
(
x
)
(f^{-1} \circ h^{-1})(x) = (h \circ f)^{-1}(x)
(
f
−
1
∘
h
−
1
)
(
x
)
=
(
h
∘
f
)
−
1
(
x
)
.
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