Jika f(x) = 3x+2 , 9(x)=½x² Tentukan!! A. (fog) (x) B. (gof) (x)

jawab

fog(x) = f {g(x)} = f(1/2 x²)
= 3 (1/2 x² ) +2
= 3/2 x² + 6
= 1/2 (3x² + 12)

gof(x) = g {f(x)} = g(3x +2)
= 1/2 (3x +2)²
= 1/2 (9x² + 12x+ 4)
= 9/2 x² + 6x + 2