Jawaban:
Pilihan Ganda:
12) f(x) = 2x² + 5x
g(x) = 1/x
(f o g)(2) = 2(1/2)² + 5(1/2) = 1/2 + 5/2 = 6/2 = A. 3
14) (h o g o f)(x) = h(g(f(x)))
g(f(x)) = 2x + 1
h(g(f(x))) = (2x + 1)³ = (2x + 1)(2x + 1)(2x + 1)
= (4x² + 4x + 1)(2x + 1) = 8x³ + 8x² + 2x + 4x² + 4x + 1
= B. 8x³ + 12x² + 6x + 1
Isian Singkat:
2) (g o f)(2) = ((2 + 1)/(2 - 3))² + ((2 + 1)/(2 - 3)) + 1
= (3/-1)² + (3/-1) + 1 = 9 - 3 + 1 = 7
4)
(g o f)(x) = -3x
2 - f(x) = -3x
-f(x) = -3x - 2
f(x) = 3x + 2
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Jawaban:
Pilihan Ganda:
12) f(x) = 2x² + 5x
g(x) = 1/x
(f o g)(2) = 2(1/2)² + 5(1/2) = 1/2 + 5/2 = 6/2 = A. 3
14) (h o g o f)(x) = h(g(f(x)))
g(f(x)) = 2x + 1
h(g(f(x))) = (2x + 1)³ = (2x + 1)(2x + 1)(2x + 1)
= (4x² + 4x + 1)(2x + 1) = 8x³ + 8x² + 2x + 4x² + 4x + 1
= B. 8x³ + 12x² + 6x + 1
Isian Singkat:
2) (g o f)(2) = ((2 + 1)/(2 - 3))² + ((2 + 1)/(2 - 3)) + 1
= (3/-1)² + (3/-1) + 1 = 9 - 3 + 1 = 7
4)
(g o f)(x) = -3x
2 - f(x) = -3x
-f(x) = -3x - 2
f(x) = 3x + 2