What is the domain of the function y=2 VX-6?

Question

asked Jul 1, 2020 111k views

1 Answer

Refti · Answer 1 · 2020-07-06T15:01:15+0000

Answer:

The answer in the procedure

Explanation:

case 1) If the function is

y=2√(x-6)

we know that

The term in the radicand must be positive

so

$x-6\geq 0\\ \\x\geq 6$

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

y=2√(x)-6

we know that

The term in the radicand must be positive

so

$x\geq 0$

therefore

The domain of the function is the interval -----> [0,∞)

All real numbers greater than or equal to 0