Question

What is the domain and range of `y =sqrt(2x - 3)`?

Answer 1

Domain : `x >=1.5 = [1.5, oo)`
Range : `{y : y > 0} =[0, oo)`

Explanation:

Domain (Possible values of x) is `(2x-3)>=0 or 2x >= 3 or x >= 3/2 or x >=1.5 = [1.5, oo)`
Range ( value of y) is `{y : y > 0} =[0, oo)`. graph{(2x-3)^0.5 [-10, 10, -5, 5]} [Ans]