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Since the inverse of a function is it's reflection over the line x=y, which has a slope of 1. The only way a function can be It'a own inverse is if it is a liner function whose slope is perpendicular to the line. Since a perpendicular line is any line with the negative recoprocal of the slope, any linear function whose slope is -1 will be it's own inverse. - stefanie math 7-12 teacher

Q: When is the inverse of a itself a function?

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The inverse function means the opposite calculation. The inverse function of "add 6" would be "subtract 6".

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No. A simple example of this is y = x2; the inverse is x = y2, which is not a function.

The inverse of the cosine is the secant.

The opposite of another function - if you apply a function and then its inverse, you should get the original number back. For example, the inverse of squaring a positive number is taking the square root.

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The inverse of the inverse is the original function, so that the product of the two functions is equivalent to the identity function on the appropriate domain. The domain of a function is the range of the inverse function. The range of a function is the domain of the inverse function.

No. The inverse of an exponential function is a logarithmic function.

The original function's RANGE becomes the inverse function's domain.

-6 is a number, not a function and so there is not an inverse function.

The inverse of the cubic function is the cube root function.

X squared is not an inverse function; it is a quadratic function.

The inverse function means the opposite calculation. The inverse function of "add 6" would be "subtract 6".

Range

No. A simple example of this is y = x2; the inverse is x = y2, which is not a function.

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These are the for inverse operations:Multiplications inverse is divisionDivisions inverse is multiplicationAdditions inverse is subtractionSubtractions inverse is addition

The inverse of the cosine is the secant.