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Simplifying (f * g)(x) = (4 * 2)(x + 1) Multiply f * g (fg)(x) = (4 * 2)(x + 1) Multiply fg * x fgx = (4 * 2)(x + 1) Multiply 4 * 2 fgx = (8)(x + 1) Reorder the terms: fgx = 8(1 + x) fgx = (1 * 8 + x * 8) fgx = (8 + 8x) Solving fgx = 8 + 8x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'gx'. f = 8g-1x-1 + 8g-1 Simplifying f = 8g-1x-1 + 8g-1 Reorder the terms: f = 8g-1 + 8g-1x-1
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