Answer: [tex]y \geq 8[/tex]
Step-by-step explanation:
The range of [tex]y=\sqrt{x}[/tex] is [tex]y \geq 0[/tex]
Multiplying this by 3, we get the range of [tex]y=3\sqrt{x}[/tex] is still [tex]y \geq 0[/tex]
Adding 8 to this, we get the range of [tex]y=3\sqrt{x}+8[/tex] is [tex]y \geq 8[/tex].