Question

Find the domain of f(x). f(x) = √9x+36​

Answer 1

The domain in interval notation is [-4,∝) or set build: {x|x
`\geq`

Explanation:

I'm assuming the 9x and the 36 are in the root

`√(9x+36)`

first we must solve for x

`{9x+36}\geq 0`

substract 36 to both sides

`{9x}\geq -36`

divide by 9 to both sides

`(9x)/(9) }\geq (-36)/(9)`

simplify left side

`x\geq (-36)/(9)`

simplfy right side

`x\geq -4`

The domain in interval notation is [-4,∝) or set build: {x|x
`\geq`-4}