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Simplifying f(x) * g(x) = (2x + 1)(7x + -6) Multiply f * x fx * g * x = (2x + 1)(7x + -6) Multiply fx * g fgx * x = (2x + 1)(7x + -6) Multiply fgx * x fgx2 = (2x + 1)(7x + -6) Reorder the terms: fgx2 = (1 + 2x)(7x + -6) Reorder the terms: fgx2 = (1 + 2x)(-6 + 7x) Multiply (1 + 2x) * (-6 + 7x) fgx2 = (1(-6 + 7x) + 2x * (-6 + 7x)) fgx2 = ((-6 * 1 + 7x * 1) + 2x * (-6 + 7x)) fgx2 = ((-6 + 7x) + 2x * (-6 + 7x)) fgx2 = (-6 + 7x + (-6 * 2x + 7x * 2x)) fgx2 = (-6 + 7x + (-12x + 14x2)) Combine like terms: 7x + -12x = -5x fgx2 = (-6 + -5x + 14x2) Solving fgx2 = -6 + -5x + 14x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'gx2'. f = -6g-1x-2 + -5g-1x-1 + 14g-1 Simplifying f = -6g-1x-2 + -5g-1x-1 + 14g-1 Reorder the terms: f = 14g-1 + -6g-1x-2 + -5g-1x-1
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