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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
-31
-3.11.2
-3.21.4
-3.31.6
-3.41.8
-3.52
-3.62.2
-3.72.4
-3.82.6
-3.92.8
-43
Start Graph, Color black
xy
-25
-2.14.6
-2.24.2
-2.33.8
-2.43.4
-2.53
-2.62.6
-2.72.2
-2.81.8
-2.91.4
-31
Start Graph, Color black
xy
-1-2
-1.1-1.3
-1.2-0.6
-1.30.1
-1.40.8
-1.51.5
-1.62.2
-1.72.9
-1.83.6
-1.94.3
-25
Start Graph, Color black
xy
-04
-0.13.4
-0.22.8
-0.32.2
-0.41.6
-0.51
-0.60.4
-0.7-0.2
-0.8-0.8
-0.9-1.4
-1-2
Start Graph, Color black
xy
1-3
0.9-2.3
0.8-1.6
0.7-0.9
0.6-0.2
0.50.5
0.41.2
0.31.9
0.22.6
0.13.3
-04
Start Graph, Color black
xy
2-0
1.9-0.3
1.8-0.6
1.7-0.9
1.6-1.2
1.5-1.5
1.4-1.8
1.3-2.1
1.2-2.4
1.1-2.7
1-3
Start Graph, Color black
xy
3-4
2.9-3.6
2.8-3.2
2.7-2.8
2.6-2.4
2.5-2
2.4-1.6
2.3-1.2
2.2-0.8
2.1-0.4
20
Start Graph, Color black
xy
42
3.91.4
3.80.8
3.70.2
3.6-0.4
3.5-1
3.4-1.6
3.3-2.2
3.2-2.8
3.1-3.4
3-4
Start Graph, Color black
xy
5-1
4.9-0.7
4.8-0.4
4.7-0.1
4.60.2
4.50.5
4.40.8
4.31.1
4.21.4
4.11.7
42
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(-3)) = `  `g(f(-4)) =`

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