[Math] The real number x when added to its inverse gives the minimum value of the sum at x equal to

Question

The real number x when added to its inverse gives the minimum value of the sum at x equal to what?

According to me it is 2 as $x +(1/x) $ is always equal to greater than 2. But the answer is given as 1.

Answer 1

Hint:

Please read the question carefully. It says The real number x when added to its inverse gives the minimum value of the sum at what value of x?.

Now answer the question. Hope it helps.