A2.F-BF.B.4.c
Interpret the meaning of and relationship between a function and its inverse utilizing real-world context.
Example Problems
The following table shows a few inputs and outputs of .
What is the value of ?
| x | h(x) |
|---|---|
| 0 | -8 |
| 9 | -6 |
| 19 | -1 |
| 28 | 4 |
| 37 | 9 |
| 47 | 13 |
What is the value of ?
The following table shows a few inputs and outputs of r(x).
What is the value of ?
| x | -30 | -20 | -10 | -2 | 7 | 17 |
|---|---|---|---|---|---|---|
| r(x) | -10 | -12 | -6 | -20 | 1 | -1 |
What is the value of ?
The following table shows a few inputs and outputs of .
What is the value of ?
| x | z(x) |
|---|---|
| -22 | -30 |
| -16 | -22 |
| -11 | -17 |
| -5 | -9 |
| 0 | -2 |
| 6 | 4 |
What is the value of ?
Khan Academy ResourcesIntro to inverse functionsVerifying inverse functions by compositionIntro to invertible functionsVerify inverse functionsRestrict domains of functions to make them invertibleInverse functions: graphs and tablesEvaluate inverse functionsDetermine if a function is invertibleFind inverses of rational functionsFinding inverses of linear functionsIntro to inverse functionsFinding inverse functions: linearGraphing the inverse of a linear functionVerifying inverse functions by compositionFinding inverses of rational functionsRestricting domains of functions to make them invertibleDetermining if a function is invertibleReading inverse values from a graphReading inverse values from a tableInputs & outputs of inverse functionsVerifying inverse functions from tablesVerifying inverse functions by composition: not inverse
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