Question

Find the domain of: y=4sqrt{4x+2}
And please show the work so I know what I'm doing for my other problems!

Answer 1

The thing you have to know is that the radicand must be 0 or greater than 0. Write and solve that inequality and you will have your domain.

Answer 2

so make y zero?

Answer 3

no, as @Mertsj said, you cannot take the square root of a negative number, so your job here is to solve \(4x+2\geq 0\) for \(x\)

Answer 4

So can someone show me exactly what to do?

Answer 5

subtract 2 from both sides of the inequality
then divide both sides by 4

Answer 6

so is it this? \[x \ge-1/2\]

Answer 7

yes

Answer 8

Thank you!

Answer 9

yw