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Simplifying f(x) = (x + 1)(x + 1) + 4 Multiply f * x fx = (x + 1)(x + 1) + 4 Reorder the terms: fx = (1 + x)(x + 1) + 4 Reorder the terms: fx = (1 + x)(1 + x) + 4 Multiply (1 + x) * (1 + x) fx = (1(1 + x) + x(1 + x)) + 4 fx = ((1 * 1 + x * 1) + x(1 + x)) + 4 fx = ((1 + 1x) + x(1 + x)) + 4 fx = (1 + 1x + (1 * x + x * x)) + 4 fx = (1 + 1x + (1x + x2)) + 4 Combine like terms: 1x + 1x = 2x fx = (1 + 2x + x2) + 4 Reorder the terms: fx = 1 + 4 + 2x + x2 Combine like terms: 1 + 4 = 5 fx = 5 + 2x + x2 Solving fx = 5 + 2x + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 5x-1 + 2 + x Simplifying f = 5x-1 + 2 + x Reorder the terms: f = 2 + 5x-1 + x
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