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Mathematics
Mathematics
Problem
For each pair of functions, find
(
f
∘
g
)
(
x
)
(f \circ g)(x)
(
f
∘
g
)
(
x
)
and state its domain and range: a.
a
f
(
x
)
=
1
x
f(x) = \frac{1}{x}
f
(
x
)
=
x
1
and
g
(
x
)
=
x
−
3
g(x) = x - 3
g
(
x
)
=
x
−
3
b.
b
f
(
x
)
=
−
1
x
f(x) = -\frac{1}{x}
f
(
x
)
=
−
x
1
and
g
(
x
)
=
x
2
+
3
x
+
2
g(x) = x^2 + 3x + 2
g
(
x
)
=
x
2
+
3
x
+
2
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