Function notation minus one exponent?

Thread starter bangthatdrum
Start date Oct 30, 2011
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Exponent Function Notation

In summary, Function notation minus one exponent is a mathematical notation used to represent the inverse of a function. It is different from regular function notation and has properties such as being one-to-one and switching the domain and range. It is used in various real-life applications, including economics, engineering, and physics.

Oct 30, 2011

bangthatdrum

Hi !

What does the notation mean exactly when a function has power minus one ?

For example i have seen the logistic function written as:

f(x) = f0[1 + exp(−βx)]^-1

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Oct 30, 2011

gb7nash

Homework Helper

[tex]z^{-1} = \frac{1}{z}[/tex]

For instance:

[tex]2^{-1} = \frac{1}{2}[/tex]

Applying this to your problem...

Oct 30, 2011

bangthatdrum

oh ok, thanks 4 the help.

Related to Function notation minus one exponent?

What is function notation minus one exponent?

Function notation minus one exponent is a mathematical notation used to represent a function with an exponent of -1. It is written as f^-1(x) and is read as "f inverse of x".

What is the purpose of using function notation minus one exponent?

The purpose of using function notation minus one exponent is to represent the inverse of a function. It allows for easier understanding and manipulation of mathematical functions.

How is function notation minus one exponent different from regular function notation?

Function notation minus one exponent is different from regular function notation because it represents the inverse of a function, while regular function notation represents the function itself. It also uses the notation f^-1(x) instead of f(x).

What are the properties of function notation minus one exponent?

The properties of function notation minus one exponent include:

The function f must be one-to-one, meaning each input has only one output.
The domain and range of the inverse function are switched from the original function.
The composition of a function and its inverse is equal to the identity function.

How is function notation minus one exponent used in real-life applications?

Function notation minus one exponent is used in various real-life applications, such as in physics, engineering, and economics. For example, it is used to calculate the inverse demand function in economics and to find the inverse of a transfer function in engineering. It is also used in physics to calculate the inverse of a force-distance relationship.