Question

What is the algorithm for the inverse of f (x)?

Answer 1

We first need to know the mathematical expression that f(x) represents following the algorithm given.

Step 1: Start with a number and add 2

Let the number = x

Adding 2 to the number gives x + 2

Step 2: Take the result and multiply by 3

This will give 3(x + 2)

Step 3: Take the result and subtract 10

This will give 3(x+2) - 10

Step 4: Square the final number:

The result will be [3(x+2) - 10]²

Therefore, f(x) = [3(x+2) - 10]²

To get the inverse of f(x), follow this algorithm

Step 1: Start with a number and take the square root

Let the number be x

Square root of x = √x

Step 2: Take the result and add 10

This will give √x + 10

Step 3: Take the result and divide by 3

This will give (√x + 10)/3

Step 4: Take the result and subtract 2

`f^(-1)(x)\text{ = }\frac{\sqrt[]{x}+10}{3}-2`