The domain of g(x) is [4, 7)
<h3>How to determine the domain of g(x)?</h3>
The function is given as:
g(x) = f(x + 3)
Since f(x) is a function, then g(x) is also a function
The domain of f(x) is given as:
[1, 4)
The equivalent of these values in g(x) are
x = 1 + 3 = 4
x = 4 + 3 = 7
Hence, the domain of g(x) is [4, 7)
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Answer:


Step-by-step explanation:
Open the brackets first:

Simplify:

It is determined that this can't be factored, so rewrite the equation so you can complete the square.

Take the square of 1.5 and add it to both sides:

Factor:


or 
So 
or 
That means they are parallel so it’s 6