Chapter 1 - Section 1.1 - Four Ways to Represent a Function - 1.1 Exercises - Page 21: 34

$-2\leq t\leq 3$

Work Step by Step

$g(t)$ is defined for all real $t$ where $3-t\geq0$ and $t+2\geq0$, since only the square roots of positive numbers are real When $3-t\geq0, t\leq3$ When $t+2\geq0, t\geq-2$ Both conditions can only be fulfilled in the domain $-2\leq t\leq 3$

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