Q: How are the graphs of inverse functions symmetric?

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The only shape that is symmetric about a point are a circle, sphere and their multi-dimensional counterparts. There are many more functions that are symmetric about the axes or specific lines.

x = constant.

a family function

They are both continuous, symmetric distribution functions.

f and g are inverse functions.

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The only shape that is symmetric about a point are a circle, sphere and their multi-dimensional counterparts. There are many more functions that are symmetric about the axes or specific lines.

The answer will depend on which functions are inverted.The answer will depend on which functions are inverted.The answer will depend on which functions are inverted.The answer will depend on which functions are inverted.

Alphonsus Lawrence O'Toole has written: 'On symmetric functions and symmetric functions of symmetric functions' -- subject(s): Symmetric functions

If you reflect a function across the line y=x, you will have a graph of the inverse. For trigonometric problems: y = sin(x) has the inverse x=sin(y) or y = sin-1(x)

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

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

No.Some functions have no inverse.

An even function is symmetric about the y-axis. An odd function is anti-symmetric.

They are hyperbolae.

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.

When graphing functions, an inverse function will be symmetric to the original function about the line y = x. Since a constant function is simply a straight, horizontal line, its inverse would be a straight, vertical line. However, a vertical line is not a function. Therefore, constant functions do not have inverse functions. Another way of figuring this question can be achieved using the horizontal line test. Look at your original function on a graph. If any horizontal line intersects the graph of the original function more than once, the original function does not have an inverse. The constant function is a horizontal line. Under the assumptions of the horizontal line test, a horizontal line infinitely will cross the original function. Thus, the constant function does not have an inverse function.

inverse function