F(x) = 2x+1
g(x) = x²+4x+4
Tentukan = a. ( fog ) (2)
b. ( gof ) (-2)![]()
g(x) = x²+4x+4
Tentukan = a. ( fog ) (2)
b. ( gof ) (-2)
a.
(f o g)(2) = f(g(x))
(f o g)(2) = f(x² + 4x + 4)
(f o g)(2) = 2(x² + 4x + 4) + 1
(f o g)(2) = 2x² + 8x + 8 + 1
(f o g)(2) = 2x² + 8x + 9
(f o g)(2) = 2(2)² + 8(2) + 9
(f o g)(2) = (2 × 2)² + (8 × 2) + 9
(f o g)(2) = 4² + 16 + 9
(f o g)(2) = (4 × 4) + 16 + 9
(f o g)(2) = 16 + 16 + 9
(f o g)(2) = 32 + 9
(f o g)(2) = 41
b.
(g o f)(-2) = g(f(x))
(g o f)(-2) = g(2x + 1)
(g o f)(-2) = (2x + 1)² + 4(2x + 1) + 4
(g o f)(-2) = 4x² + 4x + 1 + 8x + 4 + 4
(g o f)(-2) = 4x² + 12x + 1 + 8
(g o f)(-2) = 4x² + 12x + 9
(g o f)(-2) = 4(-2)² + 12(-2) + 9
(g o f)(-2) = (4 × (-2))² + (12 × (-2)) + 9
(g o f)(-2) = -8² + (-24) + 9
(g o f)(-2) = (-8 × (-8)) + (-24) + 9
(g o f)(-2) = 64 + (-24) + 9
(g o f)(-2) = 40 + 9
(g o f)(-2) = 49
[answer.2.content]
