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Simplifying f(g(x)) = x + 6 + 4x + 6 Multiply g * x f(gx) = x + 6 + 4x + 6 Multiply f * gx fgx = x + 6 + 4x + 6 Reorder the terms: fgx = 6 + 6 + x + 4x Combine like terms: 6 + 6 = 12 fgx = 12 + x + 4x Combine like terms: x + 4x = 5x fgx = 12 + 5x Solving fgx = 12 + 5x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'gx'. f = 12g-1x-1 + 5g-1 Simplifying f = 12g-1x-1 + 5g-1 Reorder the terms: f = 5g-1 + 12g-1x-1
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