The expression \( (f + 9)(t) \) represents the height of the rocket plus an additional 9 feet, which could describe a situation where the rocket is launched from a platform that is 9 feet above the ground. This means that the height of the rocket is measured from this elevated starting point instead of from the ground level. The domain of \( (f + g)(t) \) would typically include all non-negative values of \( t \) where the rocket is in motion, starting from \( t = 0 \) (the moment of launch) to the point where it either reaches its maximum height or returns to the ground, depending on the dynamics of the rocket's flight.
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 somewhat-short sentences.
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