Question

G(x)=x+6/2. Determine for each x-value whether it is in the domain of g or not.

-6 In domain or not in domain
0 In domain or not in domain
2 In domain or not in domain​

Answer 1

The given x-values (-6, 0, 2) are all in the domain of the function g(x) = (x + 6)/2.

Step-by-step explanation:

The given function is g(x) = (x + 6)/2. To determine if each x-value is in the domain of g, we need to check if any values would make the denominator zero. Dividing by zero is undefined, so any x-values that make the denominator zero will not be in the domain of g. Let's consider the given x-values:

1. For x = -6: g(-6) = (-6 + 6)/2 = 0/2 = 0. This x-value is in the domain of g.
2. For x = 0: g(0) = (0 + 6)/2 = 6/2 = 3. This x-value is in the domain of g.
3. For x = 2: g(2) = (2 + 6)/2 = 8/2 = 4. This x-value is in the domain of g.

Therefore, all the given x-values (-6, 0, 2) are in the domain of g.

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