What Is an Inverse Equation?

What Is an Inverse Equation?

An inverse equation, or inverse function, is an equation that reverses another equation. If an equation will give the value of y when providing x, the inverse equation will give the value of x when providing y.

For example, take the following equation: y = 3x - 5. The inverse of this equation is: x = (y + 5) / 3. In the first equation, supplying a value of x = 6 will give y = 13. Then, in the second equation, supplying the value of y = 13 will give x = 6. Therefore, the second equation is the inverse of the first equation.

If an equation has an inverse equation, it is a one-to-one equation, because for every x there is one y, and for every y there is one x. It is possible for there to be no inverse equation for a given equation.