what is the domain of the function f(x)=1/root[2x-3]

Answer 1

the domain is all reals except where the denominator
a) is zero
b) is undefined

√(2x-3) = 0 when x = 3/2
√(2x-3) is undefined when 2x-3<0, or x<3/2

So, the domain is all x > 3/2