<h3>
Answer: Choice A</h3>
Domain = (a,b]
Range = [mc + n,md + n)
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Explanation:
The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).
Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.
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The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...
g(x) = m*f(x) + n
g(x) = m*c + n
All we're doing is replacing f with c.
So that means mc+n is the starting point of the range for g(x).
The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.
Just draw x where the number gies
Answer:
V≈2144.66in³
Step-by-step explanation:
Answer:
5.20 to the nearest hundredth.
Step-by-step explanation:
The altitude line bisects the base of the triangle to form 2 right angled triangles with hypotenuse = 6 and the base = 3.
So, by the Pythagoras theorem the altitude is calculated as follows:
6^2 = 3^2 + x^2
x^2 = 36 - 9 = 27
x = √27
= 5.20 to the nearest hundredth.
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