Answer:
the domain of the function f(x) is [tex]x\ge 7[/tex]
the range of the function f(x) is [tex]f(x)\ge 9[/tex]
Step-by-step explanation:
Consider the parent function [tex]y=\sqrt{x}.[/tex]
The domain og this function is [tex]x\ge 0,[/tex] the range of this function is [tex]y\ge 0.[/tex]
The function [tex]f(x)=\sqrt{x-7}+9[/tex] is translated function [tex]y=\sqrt{x}[/tex] 7 units to the right and 9 units up, so
the domain of the function f(x) is [tex]x\ge 7[/tex]
the range of the function f(x) is [tex]f(x)\ge 9[/tex]
