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Simplifying f(x + 1) = x2 + 6x + 4 Reorder the terms: f(1 + x) = x2 + 6x + 4 (1 * f + x * f) = x2 + 6x + 4 (1f + fx) = x2 + 6x + 4 Reorder the terms: 1f + fx = 4 + 6x + x2 Solving 1f + fx = 4 + 6x + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: -4 + 1f + fx + -6x + -1x2 = 4 + 6x + x2 + -4 + -6x + -1x2 Reorder the terms: -4 + 1f + fx + -6x + -1x2 = 4 + -4 + 6x + -6x + x2 + -1x2 Combine like terms: 4 + -4 = 0 -4 + 1f + fx + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2 -4 + 1f + fx + -6x + -1x2 = 6x + -6x + x2 + -1x2 Combine like terms: 6x + -6x = 0 -4 + 1f + fx + -6x + -1x2 = 0 + x2 + -1x2 -4 + 1f + fx + -6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 1f + fx + -6x + -1x2 = 0 The solution to this equation could not be determined.
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