If f(x)=√x, g(x)=2x-3, then domain of fog (x) is :

The correct answer is option (1) → $[\frac{3}{2}, ∞)$

$fog(x)=f(g(x))$

$=f(2x-3)=\sqrt{2x-3}$

so $2x-3≥0$

$x≥\frac{3}{2}$

$⇒x∈[\frac{3}{2}, ∞)$ domain