What is the inverse of y=1/x

f-1 (x) = 1x

y = 1/x is already the inverse of that function.

When you solve for the inverse of a function, you interchange x and y then solve for a specific variable.

Let's say we had the function f (x) = x².

We interchange variables; x = y²

Take the square root of both sides; √x = √y²

Finally, simplify; √x = y or - √x = y

Best of Luck!