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Simplifying f(x) = (4x + 3)(2x + 1) Multiply f * x fx = (4x + 3)(2x + 1) Reorder the terms: fx = (3 + 4x)(2x + 1) Reorder the terms: fx = (3 + 4x)(1 + 2x) Multiply (3 + 4x) * (1 + 2x) fx = (3(1 + 2x) + 4x * (1 + 2x)) fx = ((1 * 3 + 2x * 3) + 4x * (1 + 2x)) fx = ((3 + 6x) + 4x * (1 + 2x)) fx = (3 + 6x + (1 * 4x + 2x * 4x)) fx = (3 + 6x + (4x + 8x2)) Combine like terms: 6x + 4x = 10x fx = (3 + 10x + 8x2) Solving fx = 3 + 10x + 8x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 3x-1 + 10 + 8x Simplifying f = 3x-1 + 10 + 8x Reorder the terms: f = 10 + 3x-1 + 8x
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