Is this an algebraic function?

(3x - 2)² = 16x² Expand the Left hand side (3x - 2)(3x - 2) = 16x² 9x² - 6x - 6x + 4 = 16x² 9x² - 12x + 4 = 16x² Re arrange to form a quadratic equation 16x² - 9x² + 12x - 4 = 0 7x² + 12x - 4 = 0 (7x² + 14x) - (2x - 4) = 0 7x(x + 2) - 2(x + 2) = 0 (x + 2)(7x - 2) = 0 x + 2 = 0 or 7x - 2 = 0 x = -2 or 7x - 2 = 0.

Take the square root of both sides: 3x - 2 = 4x or 3x - 2 = -4x 3x - 4x = 2 or 3x + 4x = 2 -x = 2 or 7x = 2 x = -2 or x = 2/7.

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