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Simplifying f(x) * g(x) = (3x)(x + 1) Multiply f * x fx * g * x = (3x)(x + 1) Multiply fx * g fgx * x = (3x)(x + 1) Multiply fgx * x fgx2 = (3x)(x + 1) Remove parenthesis around (3x) fgx2 = 3x(x + 1) Reorder the terms: fgx2 = 3x(1 + x) fgx2 = (1 * 3x + x * 3x) fgx2 = (3x + 3x2) Solving fgx2 = 3x + 3x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'gx2'. f = 3g-1x-1 + 3g-1 Simplifying f = 3g-1x-1 + 3g-1 Reorder the terms: f = 3g-1 + 3g-1x-1
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