The output is doubled.
the output is divided by 4
The output is multiplied by 5.
If f(x)=y, then the inverse function solves for y when x=f(y). You may have to restrict the domain for the inverse function to be a function. Use this concept when finding the inverse of hyperbolic functions.
The only trig functions i can think of with horizontal assymptotes are the inverse trig functions. and they go assymptotic for everytime the non-inverse function is equal to zero.
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.
the output is halved
the output is divided by 3.
the output is divided by 4
the output is divided by 3.
The output is tripled.
The output is multiplied by 5.
The output is multiplied by 5.
The output is multiplied by 3.
The output is three times as large.
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.
An inverse is NOT called a circular function. Only inverse functions that are circular functions are called circular functions for obvious reasons.
A study of inverse relationships is one of a very large number of uses for rational functions. Only a rational function of a very special kind will be of any use.