Diketahui f(x)=4x+1 dan g(x)=3x-5, tentukanlah : a. (fog)(x)b. (gof)(-1)c. (fof)(x)​

Penjelasan dengan langkah-langkah:

Diketahui :

f(x) = 4x+1

g(x) = 3x-5

Dicari :

a.) (fog)(x) = f(g(x))

(fog)(x) = f(3x-5)

(fog)(x) = 4(3x-5)+1

(fog)(x) = 12x-20+1

(fog)(x) = 12x-19

b.) (gof)(-¹) = g(f(x)-¹)

(gof)(x) = g(f(x))

(gof)(x) = g(4x+1)

(gof)(x) = 3(4x+1)-5

(gof)(x) = 12x+3-5

(gof)(x) = 12x-2

(gof)(-¹) = y = f(x)

y = 12x-2

12x = y-2

x = y-2/12

f-¹(y) = y-2/12

f-1(x) = x-2/12

c.) (fof)(x) = f(f(x))

(fof)(x) = f(4x+1)

(fof)(x) = 4(4x+1)+1

(fof)(x) = 16x+4+1

(fof)(x) = 16x+5

Semoga Bermanfaat ☺️