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Answer:
f(g(x)) = 8x^2 +11
Explanation:
Put the argument where the variable is and simplify.
f(g(x)) = f(-4x^2 -9) = 2|-4x^2 -9 +3| -1 = 2|-4x^2 -6| -1
The expression -4x^2 -6 is never positive, so the absolute value function just negates it:
f(g(x)) = 2(4x^2 +6) -1 = 8x^2 +12 -1
f(g(x)) = 8x^2 +11