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Simplifying G(f(-3)) = 2(f(-3)) + 3 Reorder the terms for easier multiplication: G(-3f) = 2(f(-3)) + 3 Remove parenthesis around (-3f) G * -3f = 2(f(-3)) + 3 Reorder the terms for easier multiplication: -3G * f = 2(f(-3)) + 3 Multiply G * f -3fG = 2(f(-3)) + 3 Reorder the terms for easier multiplication: -3fG = 2(-3f) + 3 Remove parenthesis around (-3f) -3fG = 2 * -3f + 3 Multiply 2 * -3 -3fG = -6f + 3 Reorder the terms: -3fG = 3 + -6f Solving -3fG = 3 + -6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '6f' to each side of the equation. 6f + -3fG = 3 + -6f + 6f Combine like terms: -6f + 6f = 0 6f + -3fG = 3 + 0 6f + -3fG = 3 Reorder the terms: -3 + 6f + -3fG = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 6f + -3fG = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + 2f + -1fG) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + 2f + -1fG)' equal to zero and attempt to solve: Simplifying -1 + 2f + -1fG = 0 Solving -1 + 2f + -1fG = 0 Move all terms containing f to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2f + 1 + -1fG = 0 + 1 Reorder the terms: -1 + 1 + 2f + -1fG = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2f + -1fG = 0 + 1 2f + -1fG = 0 + 1 Combine like terms: 0 + 1 = 1 2f + -1fG = 1 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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