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Simplifying f(x + 1) = x2 + 4x + 8 Reorder the terms: f(1 + x) = x2 + 4x + 8 (1 * f + x * f) = x2 + 4x + 8 (1f + fx) = x2 + 4x + 8 Reorder the terms: 1f + fx = 8 + 4x + x2 Solving 1f + fx = 8 + 4x + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: -8 + 1f + fx + -4x + -1x2 = 8 + 4x + x2 + -8 + -4x + -1x2 Reorder the terms: -8 + 1f + fx + -4x + -1x2 = 8 + -8 + 4x + -4x + x2 + -1x2 Combine like terms: 8 + -8 = 0 -8 + 1f + fx + -4x + -1x2 = 0 + 4x + -4x + x2 + -1x2 -8 + 1f + fx + -4x + -1x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 -8 + 1f + fx + -4x + -1x2 = 0 + x2 + -1x2 -8 + 1f + fx + -4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8 + 1f + fx + -4x + -1x2 = 0 The solution to this equation could not be determined.
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