Choose the inverse of y = x2 – 10x.

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Question:

Choose the inverse of y = x2 – 10x.

Answer:

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:

Read more about inverse functions at:

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