Domain of Vector-Value Funtion

Question

Find the domain of the vector-value function →r(t)=⟨−2t^4, 2t^5, 1/(t+1)^7⟩

Answer 1

The first and second components of r(t) are polynomials, so they are defined for all real t. The last component is undefined only when t = -1. Hence, the domain of r is the set of all real numbers t ≠ -1.