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