Jika Diketahui F(x)=x²+2 g(x)=4-x Tentukan: A. (fog) (x) B. (gof) (x) C. (fog)-¹ (x) D. (got)-¹ (x)

F(x)=x²+2
g(x)=4-x
Tentukan:
A. (fog) (x) = (4-x)²+2= 18-8x+x²
B. (gof) (x)= 4-(x²+2)= 2-x²
C. (fog)-¹ (x)=
y = (4-x)²+2
y-2= (4-x)²
(4-x)²= y-2
4-x = (y-2)^½
x = 4-√(y-2)
(fog)-¹(x) = 4-√(x-2)

D. (got)-¹ (x)
y = 2-x²
x² = 2-y
x= √(2-y)
(gof)-¹(x) = √(2-x)