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Two operations are said to undo each other if each operation is the inverse (NOT reciprocal) of the other. Often the domain and range of the operations will need to be restricted so that the inverse exists.

Some examples:

Addition and subtraction.

Multiplication and division.

Sine of an angle and arcsine of a ratio (similarly the other trig ratios).

Square and square root.

Exponentiation and logarithm.

Thus 3-squared is 9 and the [principal] square root of 9 is 3. If the range of the square root function is not restricted to non-negative roots, then the square root of 9 could also be -3.

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10y ago

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