Inverse Functions

Composition

More concisely and formally, f -1(x) is the inverse function of f(x) if and only if f (f -1(x)) = x and f -1(f(x)) = x .

Example 1
Are compInversEx1-1 and compFuncEx1-2 inverses?

Step 1. Find the composition f (g(x)) Step 2. Find the composition g(f(x))
step 1
 Step 2

Step 3. Determine if the functions are inverses.

Since f(g(x)) = x and g(f(x)) = x, the functions are inverses.