Write the word sentence into an inequality: “A number is greater than 5.”
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<h3>Answer: Choice D</h3>
Domain = [-3, infinity)
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Work Shown:
In step 2, we replaced every x with g(x)
In step 3, we plugged in g(x) = sqrt(x+3)
The domain of g(x) is [-3, infinity), so this is the domain of as well since the composite function depends entirely on g(x). Put another way: the input of f(x) depends on the output of g(x), so that's why the domains match up.