Answer:
The answer in the procedure
Step-by-step explanation:
case 1) If the function is
[tex]y=2\sqrt{x-6}[/tex]
we know that
The term in the radicand must be positive
so
[tex]x-6\geq 0\\ \\x\geq 6[/tex]
therefore
The domain of the function is the interval -----> [6,∞)
All real numbers greater than or equal to 6
case 2) If the function is
[tex]y=2\sqrt{x}-6[/tex]
we know that
The term in the radicand must be positive
so
[tex]x\geq 0[/tex]
therefore
The domain of the function is the interval -----> [0,∞)
All real numbers greater than or equal to 0
