Composite Functions Worksheet Page 3
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1
2
3Addition Examples
If you would like to see more examples of composition of functions, just click on the link below.
Additional Examples
Practice Problems
Now it is your turn to try a few practice problems on your own. Work on each of the problems below and
then click on the link at the end to check your answers.
2
Problem 1: If f(x) = x
– 4x + 2 and g(x) = 3x – 7, find
(f o
g)(x).
(g o
Problem 2: If g(x) = –6x + 5 and h(x) = –9x – 11, find
h)(x).
2
(g o
and g(x) = 5x
– 3, find
f)(x).
Problem 3: If
f(x)
=
2x
-
5
2
Problem 4: If f(x) = –2x + 9 and g(x) = –4x
+ 5x – 3, find
(f o
g)(x).
2
(g o
Problem 5: If f(x) = x – 3 and g(x) = 4x
– 3x – 9, find
f)(x).
3
(h o
3
Problem 6: If
g(x)
=
x
-
4
and h(x) = x
+ 4, find
g)(x).
Solutions to Practice Problems
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