Question

G(x)=\sqrt{x+3}g(x)= x+3 ​ g, left parenthesis, x, right parenthesis, equals, square root of, x, plus, 3, end square root What is the domain of g?G?

Answer 1

Answer:

The domain of g(x) is -3 to infinity

Step-by-step explanation:

Given

$g(x) = \sqrt{x + 3}$

Required

Determine the domain of g(x)

We start by expressing the content of the square root in the following form:

$x + 3 \geq 0$

Subtract 3 from both sides

$x + 3 -3 \geq 0 - 3$

$x \geq 0 - 3$

$x \geq - 3$

This can be expressed using interval notation as follows:

$\{x: -3, infiniti\}$

Hence, the domain of g(x) is -3 to infinity