y= 1/x −7

Question

Find the domain of this function

Answer 1

If you meant what you wrote, then the domain is all reals except x=0

If you meant y=1/(x-7) then the domain is all reals except x=7.

In other words, all reals except where the denominator is zero.

Answer 2

the denominator cannot equal zero. X can be all numbers, real and complex, but not seven