Question

Given g(x)=3x+6 on what interval is the function negative

Answer 1

Hi !


`3x+6\leq 0\\3x\leq -6\\x\leq (-6)/(3) =-2`

g(x)≤0 for x∈ ]-∞;-2]

Have a nice day

Answer 2

Explanation:

A number that is negative is less than 0, so

`3x + 6 < 0`

`3x < - 6`

`x < - 2`

So this function is negative, when x is less than -2