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Simplifying f(x) = (x + 3)(x + -1) Multiply f * x fx = (x + 3)(x + -1) Reorder the terms: fx = (3 + x)(x + -1) Reorder the terms: fx = (3 + x)(-1 + x) Multiply (3 + x) * (-1 + x) fx = (3(-1 + x) + x(-1 + x)) fx = ((-1 * 3 + x * 3) + x(-1 + x)) fx = ((-3 + 3x) + x(-1 + x)) fx = (-3 + 3x + (-1 * x + x * x)) fx = (-3 + 3x + (-1x + x2)) Combine like terms: 3x + -1x = 2x fx = (-3 + 2x + x2) Solving fx = -3 + 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 = -3x-1 + 2 + x Simplifying f = -3x-1 + 2 + x Reorder the terms: f = 2 + -3x-1 + x
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