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

1 Answer
Mar 21, 2018

Answer:

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!