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 (f+g) (t)? Include a description of the domain of (f+g) (t).
The function (f+g)(t) represents the total height of the rocket at time t, which is the sum of the height given by f(t) and the constant value represented by g(t). In other words, (f+g)(t) = f(t) + g(t).
If g(t) is a constant function, then the value of g(t) remains the same for all values of t. Therefore, adding a constant function to another function f(t) will shift the graph of f(t) vertically by the value of g(t).
The domain of (f+g)(t) will be the same as the domain of f(t), as adding a constant function does not affect the domain. It is important to note that the domain of a function is the set of all possible input values for the independent variable.