Question

What is the domain of the function

Answer 1

\[y=3\sqrt{6x+42}\]

Answer 2

the term under square root should be greater than or equal to zero

Answer 3

When dealing with roots, the part under the radical must not be negative. So you start by solving that for 0 and the domain is directly related to that.

Answer 4

solve that inequality to get the domain

Answer 5

how?

Answer 6

\[6x+42 \ge 0\]

solve for x