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Simplifying f(g(x)) = 1 + -1(2x + 1) * squared Multiply g * x f(gx) = 1 + -1(2x + 1) * squared Multiply f * gx fgx = 1 + -1(2x + 1) * squared Reorder the terms: fgx = 1 + -1(1 + 2x) * squared Reorder the terms for easier multiplication: fgx = 1 + -1adeqrsu(1 + 2x) fgx = 1 + (1 * -1adeqrsu + 2x * -1adeqrsu) fgx = 1 + (-1adeqrsu + -2adeqrsux) Solving fgx = 1 + -1adeqrsu + -2adeqrsux Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'gx'. f = g-1x-1 + -1adeg-1qrsux-1 + -2adeg-1qrsu Simplifying f = g-1x-1 + -1adeg-1qrsux-1 + -2adeg-1qrsu Reorder the terms: f = -2adeg-1qrsu + -1adeg-1qrsux-1 + g-1x-1
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