The expression \( (f + 9)(t) \) describes a situation where the height of the rocket, represented by \( f(t) \), is increased by 9 feet, possibly indicating that the rocket is launched from a platform that is 9 feet above the ground. This means that the overall height of the rocket at any time \( t \) includes both its height above the platform and the platform's height itself. The domain of \( (f + 9)(t) \) would be the same as the domain of \( f(t) \), typically all non-negative values of \( t \) since time cannot be negative in this context.
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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