Answer:
The domain in interval notation is [-4,∝) or set build: {x|x[tex]\geq[/tex]
Step-by-step explanation:
I'm assuming the 9x and the 36 are in the root
[tex]\sqrt{9x+36}[/tex]
first we must solve for x
[tex]{9x+36}\geq 0[/tex]
substract 36 to both sides
[tex]{9x}\geq -36[/tex]
divide by 9 to both sides
[tex]\frac{9x}{9} }\geq \frac{-36}{9}[/tex]
simplify left side
[tex]x\geq \frac{-36}{9}[/tex]
simplfy right side
[tex]x\geq -4[/tex]
The domain in interval notation is [-4,∝) or set build: {x|x[tex]\geq[/tex]-4}