Question

what would be equivalent to f(x) = |x + 8| - 3 ?

Answer 1

Very likely a function defined by pieces.
f(x) = x + 8 - 3 = x+5 if |x+8| > 0
or
f(x) = -(x+8) - 3 = -x -11 if |x+8| < 0
if I recall this correctly. Might want to double check if possible.

Answer 2

Actually, it's only if x + 8 < 0, I misplaced the | | in both cases.

Answer 3

@bmp these are the answer choices A.
f(x) = x + 5 , if x > 3
-x - 11 , if x < 3

B.
f(x) = x + 5 , if x > -8
-x - 11 , if x < -8

C.
f(x) = -x - 5 , if x > -8
x + 11 , if x < -8

D.
f(x) = -x - 5 , if x > 3
x + 11 , if x < 3

Answer 4

B it's then, if you solve for x + 8 > 0 you'll get x > -8. Similarly, if you solve x + 8 < 0, you'll get x < -8.