Diketahui f(x) = x2 + 4x - 3, g(x) = x - 3, dan h(x) = x + 1. Tentukan: a. (f o g)(x) b. (h o f)(x)

Diketahui f(x) = x² + 4x - 3, g(x) = x - 3, dan h(x) = x + 1. Tentukan:

a. (f o g)(x)

b. (h o f)(x)

c. ((f o g) o h)(x)

d. (g o (h o f))(x)

Jawab:

a. (f o g)(x) = f(x – 3)

= (x – 3)² + 4(x – 3) – 3

= x² – 6x + 9 + 4x – 12 – 3

= x² – 2x – 6

b. (h o f)(x) = h(x² + 4x – 3)

= x² + 4x – 3 + 1

= x² + 4x – 2

c. ((f o g) o h)(x) = (f o g)(x + 1)

= (x + 1)² – 2(x + 1) – 6

= x² + 2x + 1 – 2x – 2 – 6

= x² – 7

d. (g o (h o f))(x) = g(x² + 4x – 2)

= x² + 4x – 2 – 3

= x² + 4x – 5

++++++++++++++++++++++++++

Semoga Bermanfaat dan Berkah

Jangan Lupa Belajar Terus

Ingat Cita-Cita, Orang Tua, dan Keluarga

Mas Dayat