WorksheetsEvaluate Composite Functions Using Graphs
Total questions: 29
Worksheet time: 51mins
Name
Class
Date
1.
a)
-19
b)
-21
c)
17
d)
-1
2.
a)
6x2 - 1
b)
6x - 3
c)
5x - 1
d)
6x2 - 3x
3.
Given f(x) = 2x and
g(x) = x2+3 , find f(g(x)).
g(x) = x2+3 , find f(g(x)).
a)
x2+2x+3
b)
4x2+3
c)
2x2+3
d)
2x2+6
4.
Given f(x)= -3x+7 and g(x)=2x2 - 8, find f(g(x)).
a)
f(g(x))= -6x2+31
b)
f(g(x))= -6x2+24
c)
f(g(x))=18x2-84x+6
d)
f(g(x))=9x2-42x-1
5.
Given f(x)= -3x+7 and g(x)=2x2 - 8, find g(f(x)).
a)
g(f(x))= -6x2+31
b)
g(f(x))= -6x2+24
c)
g(f(x))=18x2-84x+90
d)
g(f(x))=9x2-42x-41
6.
Given f(x)= -3x + 7 and g(x)=2x2 - 8, find g(f(x)).
a)
g(f(x))= -6x2 + 31
b)
g(f(x))= -6x2 + 24
c)
g(f(x))=18x2 - 84x + 90
d)
g(f(x))=9x2 - 42x - 41
7.
g(x)=3x+4
h(x)=3x-1
Find g(h(x))
a)
-9x+11
b)
4x2+4x
c)
9x+1
d)
9x+11
8.
f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))
g(x) = x - 2
Find g(f(-10))
a)
-42
b)
-26
c)
-18
d)
None of these.
9.
a)
36
b)
72
c)
27
d)
54
10.
a)
-16
b)
16
c)
8
d)
-8
11.
a)
-3
b)
1
c)
3
d)
-2
12.
a)
11
b)
14
c)
18
d)
27
13.
a)
64
b)
32
c)
16
d)
128
14.
a)
17
b)
8
c)
-15
d)
-17
15.
a)
128
b)
512
c)
64
d)
1024
16.
a)
0.25
b)
0.5
c)
4
d)
2
17.
a)
19
b)
49
c)
11
d)
14
18.
a)
-1
b)
1
c)
7
d)
-7
19.
Find f(h(5)) based on the graphs of f(x) and g(x)
a)
-6
b)
-3
c)
6
d)
2
20.
Find g(h(3)):
a)
3
b)
-2
c)
2
d)
0
21.
Find h(f(-1)):
a)
4
b)
1
c)
-4
d)
-5
22.
a)
-10
b)
5
c)
-6
d)
10
23.
Find g(f(2)):
a)
7
b)
-7
c)
-6
d)
-3
24.
a)
8
b)
3
c)
2
d)
0
25.
Identify if the following is a composite function:
f(x)×g(x)
a)
Yes
b)
No
26.
Identify if the following is a composite function:
f(x)+g(x)
a)
Yes
b)
No
27.
Identify if the following is a composite function:
g(x)f(x)
a)
Yes
b)
No
28.
Identify if the following is a composite function:
fg(x)
a)
Yes
b)
No
29.
Identify if the following is a composite function:
gf(x)
a)
Yes
b)
No
100 %
