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 represent the height of a platform, what situation can be described by (f+g)(t)? INclude a description of the domain of (f+g)(t)
The function (f+g)(t) would represent the total height of the rocket including both its height above the ground (f(t)) and the height of the platform (g(t)) underneath it at any given time t.
The domain of (f+g)(t) would be dependent on the domains of both functions f(t) and g(t). If f(t) is defined for all real numbers within a certain range (for example, from 0 to infinity since the rocket is shot up into the air), and g(t) is defined for all real numbers within a certain range as well (for example, from 0 to a specific height corresponding to the platform), then the domain of (f+g)(t) would be the intersection of both domains. In this case, it would be all real numbers within the range where both functions are defined.
So, (f+g)(t) would represent the total height of the rocket above the ground plus the height of the platform at any given time t, and its domain would be the intersection of the domains of the individual functions f(t) and g(t).