Determine or find out the domain of the subsequent function.
r→ (t) = {cos t, ln (4- t) , √(t+1)}
Solution
The first component is described for all t's. The second component is just only defined for t < 4. The third component is just only represented for t > -1. By putting all of these together gives the subsequent domain.
[-1, 4)
This is the greatest possible interval for which all three components are defined.