This is an example of a composite function which can be simplified to g(fx). Literally input f(x) into the x of g(x), leading to the answer of 80x^2-120x+42
Given that,

To find,
The domain of f(x).
Solution,
We have, 
To find domain,
The term under the square root must be positive or null as follows :

Adding 3 both sides

So, the domain is x-3>0
.
So the difference between 45 and 10 is..
35 (omygad)
You have to divide 35/5 to get the average drop in the temperature PER HOUR, meaning 7 degrees per hour.
By applying <em>reflection</em> theory and constructing a <em>geometric</em> system of two <em>proportional right</em> triangles, the height of the stainless steel globe is approximately 140 ft.
<h3>How to estimate the height of the stainless steel globe</h3>
By physics we know that both the angle of incidence and the angle of reflection are same. Thus, we have a <em>geometric</em> system formed by two <em>proportional right</em> triangles:
5.6 ft / 4 ft = h / 100 ft
h = (5.6 ft × 100 ft) / 4ft
h = 140 ft
By applying <em>reflection</em> theory and constructing a <em>geometric</em> system of two <em>proportional right</em> triangles, the height of the stainless steel globe is approximately 140 ft.
To learn more on geometry: brainly.com/question/16836548
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