What is the domain of the function y= 2 sqrt x-6

Question

asked Jul 12, 2019 96.1k views

2 Answers

Jasonfungsing · Answer 1 · 2019-07-16T21:40:35+0000

Answer:

$x\in[6,\infty)$

Explanation:

We have been given the function
y=2√(x-6)

Domain is the set of x values for which the function is defined.

The square root function is defined for the positive values only.

Hence, in order to find the domain of the function, we have

$x-6\geq0\\\\x\geq6$

Therefore, domain of the function is given by

$x\in[6,\infty)$