g(g(x))=4

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Solution for g(g(x))=4 equation:


Simplifying
g(g(x)) = 4

Multiply g * x
g(gx) = 4

Multiply g * gx
g2x = 4

Solving
g2x = 4

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Divide each side by 'x'.
g2 = 4x-1

Simplifying
g2 = 4x-1

Combine like terms: 4x-1 + -4x-1 = 0
g2 + -4x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(g2x + -4) = 0

Subproblem 1

Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing g to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-1 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 '(g2x + -4)' equal to zero and attempt to solve: Simplifying g2x + -4 = 0 Reorder the terms: -4 + g2x = 0 Solving -4 + g2x = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + g2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + g2x = 0 + 4 g2x = 0 + 4 Combine like terms: 0 + 4 = 4 g2x = 4 Divide each side by 'x'. g2 = 4x-1 Simplifying g2 = 4x-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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