Question

What is the opposite and reciprocal of -1/x?

Answer 1

The opposite reciprocal of `-1/x` is `x`.

Explanation:

The definition of two opposite reciprocal numbers means that their product is `-1`.

So we can set up an equation with two numbers (one of them is `-1/x` and the other we'll call `y`) and multiply them together, and set them equal to `-1`:

`-1/x*y=-1`

`1/x*y=1`

`y=1/(1/x)`

`color(white)y=1/1*x/1`

`color(white)y=1*x`

`color(white)y=x`

That's the opposite reciprocal. Hope this helped!