# How to find the inverse of a function

Inverse of a function can be understood as the value of Y for which X is a function. We refer a general mathematical function as f(x). Similarly, in an equation it will be represented as y = f(x). For any value of X, you will get an equivalent value of Y. Now, if we write the function as f-1(x), it is represented as the inverse of the function. For any value of Y, we will then get a similar value of X back. Hence, the inverse of the function can be defined as the returning value of X when the value is put back on Y set. Here is how you can find the inverse of a function easily.

Writing the equation for Inverse function

To solve and get the inverse of a function easily, we would be required to write the function first. To make it easy, we replace the f(x) with Y and then solve for the value of x in order to get the value of inverse. On one side of the formula would be Y and the other side would contain all other values with X. in other case, if the equation is already written in X and Y, then we need to isolate Y on one side and bring all other elements on the other side. For example, if the equation is written like 3 + y = 3x + 9, then we need to rewrite the equation as y = 3x + 6. This would the equation after isolating Y.

Again if the equation is written as f(x) = 3x + 6, then replace f(x) it with Y. The equation would now look like, Y = 3x + 6. F(x) is the standard notation for a function. If there are other functions, we would write them as g(x) and h(x). So, solving them becomes hard. Hence we change the function notation to Y and then solve for Y.

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