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Mathematics
Mathematics
Problem
Two functions are defined as
f
(
x
)
=
2
x
+
3
f(x) = 2x + 3
f
(
x
)
=
2
x
+
3
and
g
(
x
)
=
x
−
1
x
+
1
g(x) = \frac{x - 1}{x + 1}
g
(
x
)
=
x
+
1
x
−
1
. Find the expression for the inverse of the composite function,
(
f
∘
g
)
−
1
(
x
)
(f \circ g)^{-1}(x)
(
f
∘
g
)
−
1
(
x
)
.
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