Question

given the function f(x)=-5|x+1|+3 , for what values of x is f(x)=-12?a) x=-2 , x=-4b) x=-2 , x =4c) x=2 , x=-4d) x=2 , x=4

Answer 1

We determine the values as follows:

`-12=-5|x+1|+3\Rightarrow-5|x+1|=-15`
`\Rightarrow|x+1|=3\Rightarrow\begin{cases}x+1=3\Rightarrow x=2 \\ x+1=-3\Rightarrow x=-4\end{cases}`

The solutions are x = 2 & x = -4.