Respuesta :
Answer:
[tex]x=2[/tex] and [tex]x=-4[/tex]
Step-by-step explanation:
[tex]f(x)= -5|x+1| +3[/tex]
Given f(x)= -12
Replace f(x) by -12 and solve for x
[tex]-12= -5|x+1| +3[/tex]
Subtract 3 on both sides
[tex]-15= -5|x+1|[/tex]
Divide both sides by -5
[tex]3= |x+1|[/tex]
Now make two equations
[tex]x+1=3[/tex] and [tex]x+1=-3[/tex]
Subtract both sides of equation by 1
[tex]x+1=3[/tex] and [tex]x+1=-3[/tex]
[tex]x=2[/tex] and [tex]x=-4[/tex]