Diketahui f(x) = x + 2, g(x) = 2x - 1, dan h(x) = x² + 3x - 4. Tentukan: a. (h o f o g)(2) b. (g o h o f)(-3)
Diketahui f(x) = x + 2, g(x) = 2x - 1, dan h(x) = x² + 3x - 4. Tentukan:
a. (h o f o g)(2)
b. (g o h o f)(-3)
Jawab:
f(x) = x + 2
g(x) = 2x – 1
h(x) = x² + 3x – 4
a. (h o f o g)(2) = (h o f)(g(2))
= (h o f)(2 . 2 – 1)
= (h o f)(3)
= h(f(3))
= h(3 + 2)
= h(5)
= 5² + 3(5) – 4
= 25 + 15 – 4
= 36
b. (g o h o f)(-3) = (g o h)(f(-3))
= (g o h)(-3 + 2)
= (g o h)(-1)
= g(h(-1))
= g((-1)² + 3(-1) – 4)
= g(1 – 3 – 4)
= g(-6)
= 2(-6) – 1
= -13
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Semoga Bermanfaat dan Berkah
Jangan Lupa Belajar Terus
Ingat Cita-Cita, Orang Tua, dan Keluarga
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