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An inverse is NOT called a circular function. Only inverse functions that are circular functions are called circular functions for obvious reasons.

Q: Why inverse is called Circular function?

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Assuming that b > 0, it is an inverse power function or an inverse exponential function.

The logarithm function. If you specifically mean the function ex, the inverse function is the natural logarithm. However, functions with bases other than "e" might also be called exponential functions.

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.

Related questions

Assuming that b > 0, it is an inverse power function or an inverse exponential function.

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.

The logarithm function. If you specifically mean the function ex, the inverse function is the natural logarithm. However, functions with bases other than "e" might also be called exponential functions.

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

It is just a name invented by mathematicians.

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