Question 1205642
<font color=black size=3>
Answer: <font color=red size=4>64</font>


Scratch Work
f(x) = |3x| - 10
f(-2) = |3*(-2)| - 10
f(-2) = |-6| - 10
f(-2) = 6 - 10
f(-2) = -4


g(x) = 2x^3
g(-2) = 2(-2)^3
g(-2) = 2(-8)
g(-2) = -16


(g*f)(-2) = g(-2)*f(-2)
(g*f)(-2) = -16*(-4)
(g*f)(-2) = <font color=red>64</font>
You can use Desmos or GeoGebra (among many other tools) as a way to confirm.
</font>