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Mathematics
Mathematics
Problem
Suppose
f
:
x
↦
2
x
−
x
2
f : x \mapsto 2x - x^2
f
:
x
↦
2
x
−
x
2
and
g
:
x
↦
1
+
3
x
g : x \mapsto 1 + 3x
g
:
x
↦
1
+
3
x
. a.
a
Find in simplest form:
i
$(f \circ g)(x)
ii
$(g \circ f)(x) b.
b
Find the value(s) of
x
x
x
such that
(
f
∘
g
)
(
x
)
=
3
(
g
∘
f
)
(
x
)
(f \circ g)(x) = 3(g \circ f)(x)
(
f
∘
g
)
(
x
)
=
3
(
g
∘
f
)
(
x
)
.
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