Composition of Functions
AP Precalculus · Flashcards
AP PRECALCULUS · FLASHCARDS
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QUESTION
If
f
(
x
)
=
x
−
3
f(x) = x - 3
f
(
x
)
=
x
−
3
and
g
(
x
)
=
x
2
g(x) = x^2
g
(
x
)
=
x
2
, find
(
f
◯
g
)
(
x
)
(f \bigcirc g)(x)
(
f
◯
g
)
(
x
)
.
QUESTION
What is the definition of the composition of functions?
QUESTION
Find
(
g
◯
f
)
(
x
)
(g \bigcirc f)(x)
(
g
◯
f
)
(
x
)
if
f
(
x
)
=
x
+
2
f(x) = x + 2
f
(
x
)
=
x
+
2
and
g
(
x
)
=
3
x
g(x) = 3x
g
(
x
)
=
3
x
.
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ANSWER
(
g
◯
f
)
(
x
)
=
3
(
x
+
2
)
(g \bigcirc f)(x) = 3(x + 2)
(
g
◯
f
)
(
x
)
=
3
(
x
+
2
)
. Apply
g
g
g
to
f
(
x
)
=
x
+
2
f(x) = x + 2
f
(
x
)
=
x
+
2
:
3
(
x
+
2
)
3(x + 2)
3
(
x
+
2
)
.
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