In mathematics, an inverse function is a function that “undoes” another function. This means that it takes the output of one function and produces the input that would have created that output. In this article, we will discuss the inverse of the function F(X) = 4x.
What is the Inverse of F(X)=4x?
The inverse of F(X) = 4x is denoted by F-1(X) and is defined as the function which produces the result 4x when applied to F-1(X). In other words, when 4x is the input to F-1(X), the output is x.
How to Find the Inverse of F(X)=4x?
To find the inverse of F(X) = 4x, we need to rearrange the equation so that x is the subject.
First, we divide both sides of the equation by 4 to obtain x = F(X)/4.
Next, we take the reciprocal of both sides of the equation, which gives us F(X)/4 = 1/x.
Finally, we multiply both sides of the equation by 4, which gives us F(X) = 4/x.
This is the inverse of the function F(X) = 4x.
In summary, the inverse of the function F(X) = 4x is F(X) = 4/x. This inverse is derived by rearranging the equation and taking the reciprocal of both sides. Understanding how to find the inverse of a function is an important concept in mathematics that can be applied to many different situations.
