(g * f )(4) = - 32
Step-by-step explanation:
f(x) = -x³
g(x) = |1/8x-1|
(g * f )(4) = (g × f )(4) = g(4)×f(4)
f(4) = -(4)³ = - 64
g(4) = |1/8(4)-1| = |4/8 - 1| = |1/2 - 1|
g(4) = |-1/2|
Note: absolute value of a negative number gives a positive number
g(4) = 1/2
g(4)×f(4) = 1/2 × -64
g(4)×f(4) = -32
(g * f )(4) = - 32