Question

What is the domain of the functions below:
y= 2x−3/|x-1|+2

Answer 1

assuming you mean what you typed:
y= 2x−3/|x-1|+2
when x = +1 the denominator is zero so it is all real x except x = 1
if you meant
y= 2x−3/ (|x-1|+2 )
the denominator is always positive so the domain is all real x

Answer 2

thanks:)