Diketahui:f(x)=4x+3 g(x)=x-1
Ditanya:a(fog)(x) b.(...

Question

Diketahui:f(x)=4x+3 g(x)=x-1
Ditanya:a(fog)(x) b.(gof(2) c.(fof)(x)

W. Lestari · Accepted Answer

Halo Mohammad. Terima kasih sudah bertanya di Roboguru.

Jawaban:
a. (fog)(x) = 4x - 1
b. (gof)(2) = 10
c. (fof)(x) = 16x + 15

Perhatikan penjelasan berikut ya.

Ingat kembali pada komposisi fungsi f(x) dan g(x) berlaku:
(fog)(x) = f(g(x))
(gof)(x) = g(f(x))

Diketahui: f(x) = 4x + 3 dan g(x) = x - 1

Ditanya :
a. (fog)(x) = ... ?
b. (gof)(2) = ... ?
c. (fof)(x) = ... ?

Maka:
a. (fog)(x)

(fog)(x) = f(g(x))
(fog)(x) = f(x - 1)
(fog)(x) = 4(x - 1) + 3
(fog)(x) = 4x - 4 + 3
(fog)(x) = 4x - 1

Jadi, (fog)(x) = 4x - 1.

b. (gof)(2)

(gof)(x) =g(f(x))
(gof)(x) = g(4x + 3)
(gof)(x) = (4x + 3) - 1
(gof)(x) = 4x + 3 - 1
(gof)(x) = 4x + 2
(gof)(2) = 4.2 + 2
(gof)(2) = 8 + 2
(gof)(2) = 10

Jadi, (gof)(2) = 10.

c. (fof)(x)

(fof)(x) = f(f(x))
(fof)(x) = f(4x + 3)
(fof)(x) = 4(4x + 3) + 3
(fof)(x) = 16x + 12 + 3
(fof)(x) = 16x + 15

Jadi, (fof)(x) = 16x + 15.

Semoga membantu.

Candy N · Answer

Tentukanlah  9(x) +F(x)

Candy N · Answer

9(x) +f(x) Adalah

Fitri N · Answer

Dik:f(x)=-4x+3/x-1  g(x)=x+2  dit:a).(gof)(x)dan(gof)-¹(x)   b).f-¹,g-¹dan(f-¹og-¹)(x)

Diketahui:f(x)=4x+3 g(x)=x-1 Ditanya:a(fog)(x) b.(gof(2) c.(fof)(x)

Tentukanlah 9(x) +F(x)

9(x) +f(x) Adalah

Dik:f(x)=-4x+3/x-1 g(x)=x+2 dit:a).(gof)(x)dan(gof)-¹(x) b).f-¹,g-¹dan(f-¹og-¹)(x)

Mau pemahaman lebih dalam untuk soal ini?

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