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Inverse Equation Calculator - Online Calculator - Tutorpace

# Inverse Equation Calculator

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Inverse equation is the reciprocal of the given equation. If two variables ‘x’ and ‘y’ are present in an equation, then in order to get the inverse, we switch the places of the variables and then solve for ‘y’. The online tool used to find the inverse of a given equation is called as the inverse equation calculator.

Example 1: Find the inverse of f(x) = (x/5) – 10.

Given is an equation f(x) = 5 x + 10.

To find the inverse y =5 x + 10  Switch ‘x’ and ’y’ places   x = 5y + 10

Solve for y  Adding 10 on both sides of the equation  x + 10 = y/5

Now multiply both sides by 5   5(x + 10) = 5 y/5

y =5(x + 10).

Therefore f(x)-1 is written as:  f(x)-1 = 5(x + 10).

Example 2: Find the inverse of f(x) = 7 x + 5.

Given is an equation f(x) = 7 x + 5.

To find the inverse y =7 x + 5  Switch ‘x’ and ’y’ places  x = 7y + 5

Solve for y   Subtracting 5 on both sides of the equation   x - 5 = 7 y

Now divide both sides by 7   (x - 5)/7 = 7 y/7

y =(x - 5)/ 7.

Therefore f(x)-1 is written as:  f(x)-1 =(x - 5)/ 7