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Step-by-step explanation:
f(x) = 5x - 8
g(x) = 9 - 6x²
= (fog)(-3)
= f( g(3) )
= 5x - 8
= 5(9 - 6x²) - 8
= 5(9 - 6(-3)² ) - 8
= 5(9 - 54) - 8
= 5(-45) - 8
= -225 - 8
= -233
(fog)(-3) = -233