Question

what is the domain and range using set notation

Answer 1

The expression inside the radical has to be greater than or equal to zero:
\[
2n - 8 \ge 0 \\
n - 4 \ge 0 \\
n \ge 4 \\
\text{Domain: } \{n~|~~ n \ge 4 \}

\]

Answer 2

how do i find the range from that?

Answer 3

Lowest value of b(n) is zero. Highest value is infinity.
\[\text{Range: }\{b ~|~~b \ge 0\}\]

Answer 4

how do you get that?

Answer 5

Domain is n >= 4
put n = 4, b = 0
And as n approaches infinity, b approaches infinity.

Answer 6

do you know any physics aum?

Answer 7

\[
\text {Range: } \{b \in \mathbb {R}~|~ b \ge 0 \}
\]