Question

G(x-2) = x^2 + 4x =4 , f^-1(x) = 1/2x+2 tentukan fog(x)

Answer 1

G(x - 2) = x² + 4x + 4
g(x - 2 + 2) = (x + 2)² +4(x + 2) + 4
g(x) = x² + 4x + 4 + 4x + 8
g(x) = x² + 8x + 12



(fog)(x) =f(g(x))
= 2(x² + 8x + 12) - 4
= 2x² + 16x + 24 - 4
= 2x² + 16x + 20