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Do inverse operation undo each other? - Answers

Usually, but not always: it depends on the domains and codomains.Any function that is many-to-one (for example all even powers, all trigonometric functions) have an inverse operation that is defined over a restricted domain. They will, therefore, return the principal value but not necessarily the original value.A couple of simple example, using the square and square root functions:(-2) squared = 4butsqrt(4) = +2, not -2.sin(150°) = 0.5butsin-1(0.5) = 30°It is, of course, possible to define the sqrt function so that it returns the negative root, but then it will not return the positive one.



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Do inverse operation undo each other? - Answers

https://math.answers.com/math-and-arithmetic/Do_inverse_operation_undo_each_other

Usually, but not always: it depends on the domains and codomains.Any function that is many-to-one (for example all even powers, all trigonometric functions) have an inverse operation that is defined over a restricted domain. They will, therefore, return the principal value but not necessarily the original value.A couple of simple example, using the square and square root functions:(-2) squared = 4butsqrt(4) = +2, not -2.sin(150°) = 0.5butsin-1(0.5) = 30°It is, of course, possible to define the sqrt function so that it returns the negative root, but then it will not return the positive one.



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https://math.answers.com/math-and-arithmetic/Do_inverse_operation_undo_each_other

Do inverse operation undo each other? - Answers

Usually, but not always: it depends on the domains and codomains.Any function that is many-to-one (for example all even powers, all trigonometric functions) have an inverse operation that is defined over a restricted domain. They will, therefore, return the principal value but not necessarily the original value.A couple of simple example, using the square and square root functions:(-2) squared = 4butsqrt(4) = +2, not -2.sin(150°) = 0.5butsin-1(0.5) = 30°It is, of course, possible to define the sqrt function so that it returns the negative root, but then it will not return the positive one.

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      Usually, but not always: it depends on the domains and codomains.Any function that is many-to-one (for example all even powers, all trigonometric functions) have an inverse operation that is defined over a restricted domain. They will, therefore, return the principal value but not necessarily the original value.A couple of simple example, using the square and square root functions:(-2) squared = 4butsqrt(4) = +2, not -2.sin(150°) = 0.5butsin-1(0.5) = 30°It is, of course, possible to define the sqrt function so that it returns the negative root, but then it will not return the positive one.

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