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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
-3.10.7
-3.20.4
-3.30.1
-3.4-0.2
-3.5-0.5
-3.6-0.8
-3.7-1.1
-3.8-1.4
-3.9-1.7
-4-2
Start Graph, Color black
xy
-2-1
-2.1-0.8
-2.2-0.6
-2.3-0.4
-2.4-0.2
-2.50
-2.60.2
-2.70.4
-2.80.6
-2.90.8
-31
Start Graph, Color black
xy
-1-3
-1.1-2.8
-1.2-2.6
-1.3-2.4
-1.4-2.2
-1.5-2
-1.6-1.8
-1.7-1.6
-1.8-1.4
-1.9-1.2
-2-1
Start Graph, Color black
xy
-03
-0.12.4
-0.21.8
-0.31.2
-0.40.6
-0.5-0
-0.6-0.6
-0.7-1.2
-0.8-1.8
-0.9-2.4
-1-3
Start Graph, Color black
xy
1-4
0.9-3.3
0.8-2.6
0.7-1.9
0.6-1.2
0.5-0.5
0.40.2
0.30.9
0.21.6
0.12.3
-03
Start Graph, Color black
xy
24
1.93.2
1.82.4
1.71.6
1.60.8
1.5-0
1.4-0.8
1.3-1.6
1.2-2.4
1.1-3.2
1-4
Start Graph, Color black
xy
32
2.92.2
2.82.4
2.72.6
2.62.8
2.53
2.43.2
2.33.4
2.23.6
2.13.8
24
Start Graph, Color black
xy
45
3.94.7
3.84.4
3.74.1
3.63.8
3.53.5
3.43.2
3.32.9
3.22.6
3.12.3
32
Start Graph, Color black
xy
50
4.90.5
4.81
4.71.5
4.62
4.52.5
4.43
4.33.5
4.24
4.14.5
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(-2)) = `  `g(f(-1)) =`

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