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

Domain : $x \ge 1.5 = \left[1.5 , \infty\right)$
Range : $\left\{y : y > 0\right\} = \left[0 , \infty\right)$
Domain (Possible values of x) is $\left(2 x - 3\right) \ge 0 \mathmr{and} 2 x \ge 3 \mathmr{and} x \ge \frac{3}{2} \mathmr{and} x \ge 1.5 = \left[1.5 , \infty\right)$
Range ( value of y) is $\left\{y : y > 0\right\} = \left[0 , \infty\right)$. graph{(2x-3)^0.5 [-10, 10, -5, 5]} [Ans]