Question

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

Answer 1

Hi !

$3x+6\leq 0\\3x\leq -6\\x\leq \frac{-6}{3} =-2$

g(x)≤0 for x∈ ]-∞;-2]

Have a nice day

Answer 2

Step-by-step 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