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]

Answer:

The answer is C

Step-by-step explanation:

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