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Function Composition Using Graphs
Use the graphs for `f(x)` and `g(x)` to evaluate the expressions below. Write your answer as an integer or a reduced fraction.
Graphing window shows horizontal axis: -6 to 6, vertical axis: -6 to 6. Start Graph, Color black
xy
-34
-3.13.3
-3.22.6
-3.31.9
-3.41.2
-3.50.5
-3.6-0.2
-3.7-0.9
-3.8-1.6
-3.9-2.3
-4-3
Start Graph, Color black
xy
-20
-2.10.4
-2.20.8
-2.31.2
-2.41.6
-2.52
-2.62.4
-2.72.8
-2.83.2
-2.93.6
-34
Start Graph, Color black
xy
-1-2
-1.1-1.8
-1.2-1.6
-1.3-1.4
-1.4-1.2
-1.5-1
-1.6-0.8
-1.7-0.6
-1.8-0.4
-1.9-0.2
-20
Start Graph, Color black
xy
-0-4
-0.1-3.8
-0.2-3.6
-0.3-3.4
-0.4-3.2
-0.5-3
-0.6-2.8
-0.7-2.6
-0.8-2.4
-0.9-2.2
-1-2
Start Graph, Color black
xy
12
0.91.4
0.80.8
0.70.2
0.6-0.4
0.5-1
0.4-1.6
0.3-2.2
0.2-2.8
0.1-3.4
-0-4
Start Graph, Color black
xy
21
1.91.1
1.81.2
1.71.3
1.61.4
1.51.5
1.41.6
1.31.7
1.21.8
1.11.9
12
Start Graph, Color black
xy
33
2.92.8
2.82.6
2.72.4
2.62.2
2.52
2.41.8
2.31.6
2.21.4
2.11.2
21
Start Graph, Color black
xy
45
3.94.8
3.84.6
3.74.4
3.64.2
3.54
3.43.8
3.33.6
3.23.4
3.13.2
33
Start Graph, Color black
xy
5-1
4.9-0.4
4.80.2
4.70.8
4.61.4
4.52
4.42.6
4.33.2
4.23.8
4.14.4
45
Label "f(x)" at (0,5.5). Label "x" at (5.5,0). Graphing window shows horizontal axis: -6 to 6, vertical axis: -6 to 6. Start Graph, Color black
xy
-34
-3.14.1
-3.24.2
-3.34.3
-3.44.4
-3.54.5
-3.64.6
-3.74.7
-3.84.8
-3.94.9
-45
Start Graph, Color black
xy
-23
-2.13.1
-2.23.2
-2.33.3
-2.43.4
-2.53.5
-2.63.6
-2.73.7
-2.83.8
-2.93.9
-34
Start Graph, Color black
xy
-12
-1.12.1
-1.22.2
-1.32.3
-1.42.4
-1.52.5
-1.62.6
-1.72.7
-1.82.8
-1.92.9
-23
Start Graph, Color black
xy
-01
-0.11.1
-0.21.2
-0.31.3
-0.41.4
-0.51.5
-0.61.6
-0.71.7
-0.81.8
-0.91.9
-12
Start Graph, Color black
xy
10
0.90.1
0.80.2
0.70.3
0.60.4
0.50.5
0.40.6
0.30.7
0.20.8
0.10.9
-01
Start Graph, Color black
xy
2-1
1.9-0.9
1.8-0.8
1.7-0.7
1.6-0.6
1.5-0.5
1.4-0.4
1.3-0.3
1.2-0.2
1.1-0.1
10
Start Graph, Color black
xy
3-2
2.9-1.9
2.8-1.8
2.7-1.7
2.6-1.6
2.5-1.5
2.4-1.4
2.3-1.3
2.2-1.2
2.1-1.1
2-1
Start Graph, Color black
xy
4-3
3.9-2.9
3.8-2.8
3.7-2.7
3.6-2.6
3.5-2.5
3.4-2.4
3.3-2.3
3.2-2.2
3.1-2.1
3-2
Start Graph, Color black
xy
5-4
4.9-3.9
4.8-3.8
4.7-3.7
4.6-3.6
4.5-3.5
4.4-3.4
4.3-3.3
4.2-3.2
4.1-3.1
4-3
Label "g(x)" at (0,5.5). Label "x" at (5.5,0).
`f(g(1)) = `  `g(f(-4)) =`

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