Question

(b) $g(t) = sqrt3{5 - t}$
the domain in interval notation is .

Explanation:

Step1: Analyze root type

This is a cube root function. For cube roots, the expression inside the root (radicand) can be any real number, positive, negative, or zero, because real numbers have real cube roots.

Step2: Identify valid input range

The radicand here is $5-t$. There are no restrictions on $t$: $t$ can be any real number, so $t$ ranges from $-\infty$ to $\infty$.

Step3: Write in interval notation

The interval representing all real numbers is $(-\infty, \infty)$.

Answer:

$(-\infty, \infty)$