Determine the domain of the function, Mathematics

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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.

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