## Nick88888888 one year ago Findthe domain and the range of the following function: y = √ 12x + 24?

1. Nick88888888

|dw:1436775868610:dw|

2. Astrophysics

$12x+24 \ge 0$ solve for x for the domain, the range is all the y values, so that should be somewhat obvious $f \in \mathbb{R}: f \ge 0$

3. Astrophysics

|dw:1436776239610:dw| notice the graph agrees

4. Nick88888888

wait so what did you do with the square root?

5. Astrophysics

Well, square root only takes positive numbers, so we set it up as such.

6. Astrophysics

That's the only time it's defined

7. Nick88888888

would this be 1 way to do it? y = SqrRoot (12x + 25) 12x+24>=0 giving a domain Real values >= -2. The range of y is y>=0.

8. Astrophysics

y is all real numbers that are y > = 0

9. Astrophysics

The range*

10. Astrophysics

I don't know how your teacher wants the answers, so I can't say.