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Simplifying f(f(t2)) = x + 5 Multiply f * t2 f(ft2) = x + 5 Multiply f * ft2 f2t2 = x + 5 Reorder the terms: f2t2 = 5 + x Solving f2t2 = 5 + x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 't2'. f2 = 5t-2 + t-2x Simplifying f2 = 5t-2 + t-2x Reorder the terms: f2 + -5t-2 + -1t-2x = 5t-2 + -5t-2 + t-2x + -1t-2x Combine like terms: 5t-2 + -5t-2 = 0 f2 + -5t-2 + -1t-2x = 0 + t-2x + -1t-2x f2 + -5t-2 + -1t-2x = t-2x + -1t-2x Combine like terms: t-2x + -1t-2x = 0 f2 + -5t-2 + -1t-2x = 0 Factor out the Greatest Common Factor (GCF), 't-2'. t-2(f2t2 + -5 + -1x) = 0Subproblem 1
Set the factor 't-2' equal to zero and attempt to solve: Simplifying t-2 = 0 Solving t-2 = 0 Move all terms containing f to the left, all other terms to the right. Add '-1t-2' to each side of the equation. t-2 + -1t-2 = 0 + -1t-2 Remove the zero: 0 = -1t-2 Simplifying 0 = -1t-2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(f2t2 + -5 + -1x)' equal to zero and attempt to solve: Simplifying f2t2 + -5 + -1x = 0 Reorder the terms: -5 + f2t2 + -1x = 0 Solving -5 + f2t2 + -1x = 0 Move all terms containing f to the left, all other terms to the right. Add '5' to each side of the equation. -5 + f2t2 + 5 + -1x = 0 + 5 Reorder the terms: -5 + 5 + f2t2 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + f2t2 + -1x = 0 + 5 f2t2 + -1x = 0 + 5 Combine like terms: 0 + 5 = 5 f2t2 + -1x = 5 Add 'x' to each side of the equation. f2t2 + -1x + x = 5 + x Combine like terms: -1x + x = 0 f2t2 + 0 = 5 + x f2t2 = 5 + x Divide each side by 't2'. f2 = 5t-2 + t-2x Simplifying f2 = 5t-2 + t-2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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