What is the inverse of f(x) = x + 2?

Solution:

Given: Function f(x) = x + 2

Now we have to find the inverse of the given function.

Step 1 : Substitute function is equal to y.

f(x) = y

⇒ y = x + 2

Step 2 : Now interchange x and y

⇒ x = y + 2

Step 3 : Now solve the equation for y

⇒ y = x - 2

Since we swapped x and y we have y = f⁻¹(x)

f⁻¹(x) = x - 2

What is the inverse of f(x) = x + 2?

Summary:

The inverse of the function f(x) = x + 2 is f⁻¹(x) = x - 2.