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