Question

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

Answer 1

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