# 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.

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