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Marina86 [1]
4 years ago
11

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 i

s the domain of g?G?
Mathematics
1 answer:
Aleks04 [339]4 years ago
7 0

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\}

<em>Hence, the domain of g(x) is -3 to infinity</em>

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