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Simplifying (fg)(x) = (5x + -2)(3x2) Multiply fg * x fgx = (5x + -2)(3x2) Reorder the terms: fgx = (-2 + 5x)(3x2) Remove parenthesis around (3x2) fgx = (-2 + 5x) * 3x2 Reorder the terms for easier multiplication: fgx = 3x2(-2 + 5x) fgx = (-2 * 3x2 + 5x * 3x2) fgx = (-6x2 + 15x3) Solving fgx = -6x2 + 15x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'gx'. f = -6g-1x + 15g-1x2 Simplifying f = -6g-1x + 15g-1x2
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