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Inverse Calculator - Online Calculator - Tutorpace

# Inverse Calculator

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Inverse means the reverse or opposite of the given mathematical operation. Subtraction is the inverse mathematical operation of addition and vice versa. Division is the inverse mathematical operation of multiplication and vice versa. The online tool used to find the inverse of an expression is called as Inverse calculator.

Example 1: Find the inverse of f(x) = 2 x + 3.

Given is an equation f(x) = 2 x + 3.

To find the inverse y =2 x + 3   Switch ‘x’ and ’y’ places   x = 2y + 3

Solve for ‘y’   Subtracting 3 on both sides of the equation  x - 3 = 2 y

Now divide both sides by 2.

This gives, (x - 3)/2 = 2 y/2

y =(x - 3)/ 2.

Therefore f(x)-1 is written as:  f(x)-1 =(x - 3)/ 2

Example 2: Find the inverse of f(x) = 5 x + 6.

Given is an equation f(x) = 5 x + 6.

To find the inverse y =5 x + 6  Switch ‘x’ and ’y’ places   x = 5y + 6

Solve for y  Subtracting 6 on both sides of the equation   x - 6 = 5 y

Now divide both sides by 5.

This gives, (x - 6)/5 = 5 y/5

y =(x - 6)/ 5.

Therefore f(x)-1 is written as   f(x)-1 =(x - 6)/ 5.