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g(f(x)) = (1/x+8)² +11(1/x+8) + 24 = 1/x² +16 x +64 +11/x + 8 + 24 = 1 + 11 x + 88 +24 x² + 384 x + 1536 /x² + 16x+64 = 24x² + 395x + 1649 / x² +16x + 64.