The function \( (f + 9)(t) \) represents the height of the rocket above the platform, which is elevated 9 feet above the ground. This shift indicates that the rocket's height is being measured from the platform's height rather than from the ground level. The domain of \( (f + g)(t) \) would be all time values \( t \) for which the rocket is in flight, typically from \( t = 0 \) until the rocket reaches its maximum height and begins to descend.
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 + 9) (t)? Include a description of the domain of (f + g) (t). Explain in three ***SHORT*** sentences.
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