Combining Functions Worksheet With Answers
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1Combining functions
=
−
−
= x
+
2
Let
f
(
x
)
4
x
2
and
g
(
x
)
2
1
. Find the following.
f
(
f +
• g
−
1.
2.
3.
) 0
(
g
)(
) 5
(
f
)(
) 1
g
f +
−
4.
(
)(
)
5.
(
)(
) 1
6.
(
)(
)
g
x
f
f
g
f
x
g
−
−
7. The domain of
(x
)
8.
(
f
g
)(
) 3
9.
(
g
f
)(
) 3
f
f
f −
f •
10.
(
g
)(
) 2
11.
(
g
)(
x
)
12.
(
)(
x
)
g
2
2
Answers: 1. 29
2. 6
3. -2
4. 2x
– 4x – 1
5. -10
6. 32x
+ 32x + 9
1
−
3
2
7. all reals except
8. -78
9. 201
10. -19
11. –8x
– 4x – 4x
– 2
2
−
−
4
x
2
12.
+
2
2
x
1
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