- #1
gede
- 18
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Please take a look in below image. How do they get 2y = x + 2?
An inverse function is a mathematical function that reverses the output of another function. In other words, if a function takes an input and produces a certain output, the inverse function takes that output as an input and produces the original input.
To find the inverse of a function, you can switch the x and y variables and solve for y. This means that if the original function is f(x), the inverse function would be written as f-1(x). It is important to note that not all functions have an inverse.
The notation for an inverse function is f-1(x). This is read as "f inverse of x." It is important to note that this notation does not mean the reciprocal of f(x).
The domain of an inverse function is the range of the original function, and the range of an inverse function is the domain of the original function. This means that the inputs and outputs of the functions are switched in the inverse function.
An inverse function is important because it allows us to "undo" a function and find the original input. It is also useful in solving equations and understanding the relationships between different functions. Inverse functions are also used in many real-world applications, such as in engineering, physics, and economics.