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Mathematics
Mathematics
Problem
Given the functions
f
(
x
)
=
2
−
x
x
+
3
(
x
≠
−
3
)
and
g
(
x
)
=
2
x
−
1
(
x
≠
1
)
f(x) = \frac{2-x}{x+3} \quad (x \neq -3) \quad \text{and} \quad g(x) = \frac{2}{x-1} \quad (x \neq 1)
f
(
x
)
=
x
+
3
2
−
x
(
x
=
−
3
)
and
g
(
x
)
=
x
−
1
2
(
x
=
1
)
find
(
f
∘
g
)
−
1
(f \circ g)^{-1}
(
f
∘
g
)
−
1
in the form
a
x
+
b
c
x
+
d
\frac{ax + b}{cx + d}
c
x
+
d
a
x
+
b
.
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