An **inverse function** reverses a previous function.

So if **f(x)** is a function, we write its inverse as** f ^{-1}(x)**.

There are three steps to follow when finding an inverse function:

**Step 1: **Change **f(x) = **into **y =**.

**Step 2:** Swap **x** and **y**.

**Step 3:** Make **y** the subject.

Let's have a look at an example now.

**e.g. Find the inverse of f(x) = 3x + 4.**

**Step 1:** y = 3x + 4

**Step 2: **x = 3y + 4

**Step 3: **x - 4 = 3y

(x - 4) ÷ 3 = y

So** f ^{-1}(x) = (x - 4) ÷ 3**

In this activity, we will find the inverse of functions using the method shown above of finding an alternative subject of the function.