Question

given the function F(x)= -5|x+1|+3 for what values of x is F(x)=-12 my choices are A) x=-2,x=-4 B) x=-2,x=4 C)x=2,x=-4 D)x=2,x=4

Answer 1

okay so we have this-

\(\large F(x)=-5|x+1|+3\)

we gotta find x for which \(F(x)\) is -12
so
\(\large -12=-5|x+1|+3\)
\(\large -12-3=-5|x+1|+3-3\)
\(\large -15=-5|x+1|\)
\(\huge\frac{-15}{-5}=\frac{-5|x+1|}{-5}\)
\(\large 3=|x+1|\)

so either \(x+1=3 \) or \(x+1=-3\)
solving these two we get the value of \(x\) to be 2 and -4

Answer 2

awesome thanks

Answer 3

np :)