Choose the inverse of y = x2 – 10x.

The inverse of a function, is its opposite.

The inverse function is:

The function is given as:

Swap y and x

Complete the square on the above equation

Express the right-hand side as a perfect square

Take square roots of both sides

Add 5 to both sides

Rewrite as:

So, we have:

Hence, the inverse function is:

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we have

Completing the square

Swap  x and y

Solve for y

Square root both sides

Let

therefore

the answer is

The inverse is equal to

72 is the answer to this problem