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Simplifying f(g(x)) = (x2 + 6x)(4x2) Multiply g * x f(gx) = (x2 + 6x)(4x2) Multiply f * gx fgx = (x2 + 6x)(4x2) Reorder the terms: fgx = (6x + x2)(4x2) Remove parenthesis around (4x2) fgx = (6x + x2) * 4x2 Reorder the terms for easier multiplication: fgx = 4x2(6x + x2) fgx = (6x * 4x2 + x2 * 4x2) fgx = (24x3 + 4x4) Solving fgx = 24x3 + 4x4 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'gx'. f = 24g-1x2 + 4g-1x3 Simplifying f = 24g-1x2 + 4g-1x3
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