Try Another Version of This Question
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 blackx | y |
---|
-3 | 4 | -3.1 | 3.3 | -3.2 | 2.6 | -3.3 | 1.9 | -3.4 | 1.2 | -3.5 | 0.5 | -3.6 | -0.2 | -3.7 | -0.9 | -3.8 | -1.6 | -3.9 | -2.3 | -4 | -3 |
Start Graph, Color blackx | y |
---|
-2 | 0 | -2.1 | 0.4 | -2.2 | 0.8 | -2.3 | 1.2 | -2.4 | 1.6 | -2.5 | 2 | -2.6 | 2.4 | -2.7 | 2.8 | -2.8 | 3.2 | -2.9 | 3.6 | -3 | 4 |
Start Graph, Color blackx | y |
---|
-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 | -2 | 0 |
Start Graph, Color blackx | y |
---|
-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 blackx | y |
---|
1 | 2 | 0.9 | 1.4 | 0.8 | 0.8 | 0.7 | 0.2 | 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 blackx | y |
---|
2 | 1 | 1.9 | 1.1 | 1.8 | 1.2 | 1.7 | 1.3 | 1.6 | 1.4 | 1.5 | 1.5 | 1.4 | 1.6 | 1.3 | 1.7 | 1.2 | 1.8 | 1.1 | 1.9 | 1 | 2 |
Start Graph, Color blackx | y |
---|
3 | 3 | 2.9 | 2.8 | 2.8 | 2.6 | 2.7 | 2.4 | 2.6 | 2.2 | 2.5 | 2 | 2.4 | 1.8 | 2.3 | 1.6 | 2.2 | 1.4 | 2.1 | 1.2 | 2 | 1 |
Start Graph, Color blackx | y |
---|
4 | 5 | 3.9 | 4.8 | 3.8 | 4.6 | 3.7 | 4.4 | 3.6 | 4.2 | 3.5 | 4 | 3.4 | 3.8 | 3.3 | 3.6 | 3.2 | 3.4 | 3.1 | 3.2 | 3 | 3 |
Start Graph, Color blackx | y |
---|
5 | -1 | 4.9 | -0.4 | 4.8 | 0.2 | 4.7 | 0.8 | 4.6 | 1.4 | 4.5 | 2 | 4.4 | 2.6 | 4.3 | 3.2 | 4.2 | 3.8 | 4.1 | 4.4 | 4 | 5 |
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 blackx | y |
---|
-3 | 4 | -3.1 | 4.1 | -3.2 | 4.2 | -3.3 | 4.3 | -3.4 | 4.4 | -3.5 | 4.5 | -3.6 | 4.6 | -3.7 | 4.7 | -3.8 | 4.8 | -3.9 | 4.9 | -4 | 5 |
Start Graph, Color blackx | y |
---|
-2 | 3 | -2.1 | 3.1 | -2.2 | 3.2 | -2.3 | 3.3 | -2.4 | 3.4 | -2.5 | 3.5 | -2.6 | 3.6 | -2.7 | 3.7 | -2.8 | 3.8 | -2.9 | 3.9 | -3 | 4 |
Start Graph, Color blackx | y |
---|
-1 | 2 | -1.1 | 2.1 | -1.2 | 2.2 | -1.3 | 2.3 | -1.4 | 2.4 | -1.5 | 2.5 | -1.6 | 2.6 | -1.7 | 2.7 | -1.8 | 2.8 | -1.9 | 2.9 | -2 | 3 |
Start Graph, Color blackx | y |
---|
-0 | 1 | -0.1 | 1.1 | -0.2 | 1.2 | -0.3 | 1.3 | -0.4 | 1.4 | -0.5 | 1.5 | -0.6 | 1.6 | -0.7 | 1.7 | -0.8 | 1.8 | -0.9 | 1.9 | -1 | 2 |
Start Graph, Color blackx | y |
---|
1 | 0 | 0.9 | 0.1 | 0.8 | 0.2 | 0.7 | 0.3 | 0.6 | 0.4 | 0.5 | 0.5 | 0.4 | 0.6 | 0.3 | 0.7 | 0.2 | 0.8 | 0.1 | 0.9 | -0 | 1 |
Start Graph, Color blackx | y |
---|
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 | 1 | 0 |
Start Graph, Color blackx | y |
---|
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 blackx | y |
---|
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 blackx | y |
---|
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)) =` |