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Simplifying f(g(x)) = 6(2x2 + -5x + 7) Multiply g * x f(gx) = 6(2x2 + -5x + 7) Multiply f * gx fgx = 6(2x2 + -5x + 7) Reorder the terms: fgx = 6(7 + -5x + 2x2) fgx = (7 * 6 + -5x * 6 + 2x2 * 6) fgx = (42 + -30x + 12x2) Solving fgx = 42 + -30x + 12x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'gx'. f = 42g-1x-1 + -30g-1 + 12g-1x Simplifying f = 42g-1x-1 + -30g-1 + 12g-1x Reorder the terms: f = -30g-1 + 42g-1x-1 + 12g-1x
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