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Simplifying f(g(x)) = 2x + 1 + -5x + 2 Multiply g * x f(gx) = 2x + 1 + -5x + 2 Multiply f * gx fgx = 2x + 1 + -5x + 2 Reorder the terms: fgx = 1 + 2 + 2x + -5x Combine like terms: 1 + 2 = 3 fgx = 3 + 2x + -5x Combine like terms: 2x + -5x = -3x fgx = 3 + -3x Solving fgx = 3 + -3x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'gx'. f = 3g-1x-1 + -3g-1 Simplifying f = 3g-1x-1 + -3g-1 Reorder the terms: f = -3g-1 + 3g-1x-1
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