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Simplifying g(x) = x3findg(-1x) Multiply g * x gx = x3findg(-1x) Remove parenthesis around (-1x) gx = dfginx3 * -1x Reorder the terms for easier multiplication: gx = -1dfginx3 * x Multiply dfginx3 * x gx = -1dfginx4 Solving gx = -1dfginx4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'dfginx4' to each side of the equation. dfginx4 + gx = -1dfginx4 + dfginx4 Combine like terms: -1dfginx4 + dfginx4 = 0 dfginx4 + gx = 0 Factor out the Greatest Common Factor (GCF), 'gx'. gx(dfinx3 + 1) = 0Subproblem 1
Set the factor 'gx' equal to zero and attempt to solve: Simplifying gx = 0 Solving gx = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gx = 0 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 '(dfinx3 + 1)' equal to zero and attempt to solve: Simplifying dfinx3 + 1 = 0 Reorder the terms: 1 + dfinx3 = 0 Solving 1 + dfinx3 = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + dfinx3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + dfinx3 = 0 + -1 dfinx3 = 0 + -1 Combine like terms: 0 + -1 = -1 dfinx3 = -1 Add '-1dfinx3' to each side of the equation. dfinx3 + -1dfinx3 = -1 + -1dfinx3 Combine like terms: dfinx3 + -1dfinx3 = 0 0 = -1 + -1dfinx3 Simplifying 0 = -1 + -1dfinx3 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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