Finding the inverse of a function

In relations and functions of math, there is concept of inverse function which is explained below using simple example.

Topic : Inverse of a function

function is always denoted by f and variable by x as f(x) and expression can be algebraic expression or trigonometric expressions.

Problem : Find the inverse of a function f(x) = 2x – 5

Solution :

f(x) = 2x – 5
Let y = f(x)
y = 2x – 5
Add 5 on both the sides of the equation
y + 5 = 2x
Now, divide by 2 on both the sides of the equation
(y+5)/2 = x