Question

Diketahui (fog)(x) = 4x^2 + 12x + 6, dan f(x) = x^2 + 4x + 1. tentukan g(x) ?

Answer 1

Fog(x) = 4x² + 12x + 6
g(x)² + 4(g(x)) + 1 = 4x² + 12x + 6
g(x)² + 4(g(x)) + 1 + 3 = 4x² + 12x + 6 + 3
g(x)² + 4(g(x)) + 4 = 4x² + 12x + 9
(g(x) + 2)² = (2x + 3)²
g(x) + 2 = 2x + 3
g(x) = 2x + 3 - 2 = 2x + 1