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Simplifying f(n) = 2f(3 + -1) * f(3 + -2) Multiply f * n fn = 2f(3 + -1) * f(3 + -2) Combine like terms: 3 + -1 = 2 fn = 2f(2) * f(3 + -2) Combine like terms: 3 + -2 = 1 fn = 2f * 2f(1) Reorder the terms for easier multiplication: fn = 2 * 2 * 1f * f Multiply 2 * 2 fn = 4 * 1f * f Multiply 4 * 1 fn = 4f * f Multiply f * f fn = 4f2 Solving fn = 4f2 Solving for variable 'f'. Combine like terms: 4f2 + -4f2 = 0 fn + -4f2 = 0 Factor out the Greatest Common Factor (GCF), 'f'. f(n + -4f) = 0Subproblem 1
Set the factor 'f' equal to zero and attempt to solve: Simplifying f = 0 Solving f = 0 Move all terms containing f to the left, all other terms to the right. Simplifying f = 0Subproblem 2
Set the factor '(n + -4f)' equal to zero and attempt to solve: Simplifying n + -4f = 0 Reorder the terms: -4f + n = 0 Solving -4f + n = 0 Move all terms containing f to the left, all other terms to the right. Add '-1n' to each side of the equation. -4f + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 -4f + 0 = 0 + -1n -4f = 0 + -1n Remove the zero: -4f = -1n Divide each side by '-4'. f = 0.25n Simplifying f = 0.25nSolution
f = {0, 0.25n}
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