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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
-5-2
-5.1-2.2
-5.2-2.4
-5.3-2.6
-5.4-2.8
-5.5-3
-5.6-3.2
-5.7-3.4
-5.8-3.6
-5.9-3.8
-6-4
Start Graph, Color black
xy
-4-5
-4.1-4.7
-4.2-4.4
-4.3-4.1
-4.4-3.8
-4.5-3.5
-4.6-3.2
-4.7-2.9
-4.8-2.6
-4.9-2.3
-5-2
Start Graph, Color black
xy
-33
-3.12.2
-3.21.4
-3.30.6
-3.4-0.2
-3.5-1
-3.6-1.8
-3.7-2.6
-3.8-3.4
-3.9-4.2
-4-5
Start Graph, Color black
xy
-2-1
-2.1-0.6
-2.2-0.2
-2.30.2
-2.40.6
-2.51
-2.61.4
-2.71.8
-2.82.2
-2.92.6
-33
Start Graph, Color black
xy
-1-0
-1.1-0.1
-1.2-0.2
-1.3-0.3
-1.4-0.4
-1.5-0.5
-1.6-0.6
-1.7-0.7
-1.8-0.8
-1.9-0.9
-2-1
Start Graph, Color black
xy
-0-3
-0.1-2.7
-0.2-2.4
-0.3-2.1
-0.4-1.8
-0.5-1.5
-0.6-1.2
-0.7-0.9
-0.8-0.6
-0.9-0.3
-10
Start Graph, Color black
xy
11
0.90.6
0.80.2
0.7-0.2
0.6-0.6
0.5-1
0.4-1.4
0.3-1.8
0.2-2.2
0.1-2.6
-0-3
Start Graph, Color black
xy
2-6
1.9-5.3
1.8-4.6
1.7-3.9
1.6-3.2
1.5-2.5
1.4-1.8
1.3-1.1
1.2-0.4
1.10.3
11
Start Graph, Color black
xy
32
2.91.2
2.80.4
2.7-0.4
2.6-1.2
2.5-2
2.4-2.8
2.3-3.6
2.2-4.4
2.1-5.2
2-6
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
-52
-5.12.1
-5.22.2
-5.32.3
-5.42.4
-5.52.5
-5.62.6
-5.72.7
-5.82.8
-5.92.9
-63
Start Graph, Color black
xy
-41
-4.11.1
-4.21.2
-4.31.3
-4.41.4
-4.51.5
-4.61.6
-4.71.7
-4.81.8
-4.91.9
-52
Start Graph, Color black
xy
-30
-3.10.1
-3.20.2
-3.30.3
-3.40.4
-3.50.5
-3.60.6
-3.70.7
-3.80.8
-3.90.9
-41
Start Graph, Color black
xy
-2-1
-2.1-0.9
-2.2-0.8
-2.3-0.7
-2.4-0.6
-2.5-0.5
-2.6-0.4
-2.7-0.3
-2.8-0.2
-2.9-0.1
-30
Start Graph, Color black
xy
-1-2
-1.1-1.9
-1.2-1.8
-1.3-1.7
-1.4-1.6
-1.5-1.5
-1.6-1.4
-1.7-1.3
-1.8-1.2
-1.9-1.1
-2-1
Start Graph, Color black
xy
-0-3
-0.1-2.9
-0.2-2.8
-0.3-2.7
-0.4-2.6
-0.5-2.5
-0.6-2.4
-0.7-2.3
-0.8-2.2
-0.9-2.1
-1-2
Start Graph, Color black
xy
1-4
0.9-3.9
0.8-3.8
0.7-3.7
0.6-3.6
0.5-3.5
0.4-3.4
0.3-3.3
0.2-3.2
0.1-3.1
-0-3
Start Graph, Color black
xy
2-5
1.9-4.9
1.8-4.8
1.7-4.7
1.6-4.6
1.5-4.5
1.4-4.4
1.3-4.3
1.2-4.2
1.1-4.1
1-4
Start Graph, Color black
xy
3-6
2.9-5.9
2.8-5.8
2.7-5.7
2.6-5.6
2.5-5.5
2.4-5.4
2.3-5.3
2.2-5.2
2.1-5.1
2-5
Label "g(x)" at (0,5.5). Label "x" at (5.5,0).
 `f(g(-4)) = `
 `g(f(-3)) =`
`f(f(-5)) = `
`g(g(-2)) =`

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