Inverse functions, Mathematics

We have seen that if y is a function of x, then for each given value of x, we can determine uniquely the value of y as per the functional relationship. For some functions, it is possible to express x in terms of y so that, given the value of y, the value of x can be uniquely determined. The function that expresses the variable x in terms of the variable y is called the inverse function and is denoted by x = f-1 (y).

Example 

y = f(x) = 5x + 3

Solving x in terms of y,

x

= (y-3)/5 = f-1 (y)
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