The expression \((f+g)(t)\) represents the total height of the rocket above the ground when it is added to the height of the platform. This situation describes the scenario where the rocket is launched from a platform that is at a height represented by the constant function \(g(t)\), with \(f(t)\) representing the rocket's height above that platform over time. The domain of \((f+g)(t)\) would typically be \(t \geq 0\) since time cannot be negative, and it may also be limited by the duration of the rocket’s flight or the platform's operational time.
A rocket is shot straight up into the air. If f(t) represents the height in feet of the rocket at time, t , seconds and g(t) is a constant function that represents the height of a platform, what situation can be described by (f+g)(t) ? Include a description of the domain of (f+g)(t) . (2 points)
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