F(x):4-x G(x):x2-1 Tentukan A.f°g (x) B.g°f (x) C.f°f (x) D.g°g (x)

a)
f o g(x) = f(g(x)) = f(x² - 1)
f o g (x) = 4 - (x² -1)
f o g (x) = 3 - x²

b).
g o f(x) = g(4-x)
g o f(x) = (4-x)² - 1
g o f(x) =16 - 8x + x² - 1
g o f(x) = x²- 8x + 15

c).
f o f (x) = f(4-x)
f o f (x) = 4 - (4-x)
f o f (x) = x

d).
g o g(x) = g(x² - 1)
g o g(x) = (x²-1)² - 1
g o g(x) = x⁴ - 2x² + 1 - 1
g o g(x) = x⁴ - 2x²

a. f°g = f g(x)
= 4-x
4-x²-1
= -x²-1+4
=-x²+3

b. g°f= g f(x)
= x²-1
=(4-x)² - ¹
= -x² - 8x+16 -1
=-x² - 8x + 15
= x² +8x-15

c. f°f= f f (x)
= 4-x
4-4-x
=-x

d. g°g = g g(x)
= x² -1
=x²-1-1
=x²-2