Question

TOLONG DI JAWAB!
tentukan rumus fungsi f(x) jika diketahui: a. g(x) = 3x + 1 dan (f o g)(x) = 4x - 5

Answer 1

diket:
g(x)= 3x+1---> t=3x+1----->x=t-1/3
(fog)(x)=4x-5
dit: f(x)=...?
Jawab:


(fog)=4x-5
f(g(x))=4x-5
f(x)=4(x-1/3)-5
f(x)=

Answer 2

(f o g)(x) = f(g(x) )
(f o g)(x) = f(3x + 1)
Maka :
f(3x + 1) = 4x - 5
f(3x) = 4(x - 1) - 5
f(x) = 4{(4x - 1)/3} - 5
f(x) = 16x/3  -  4/3  -  5
f(x) = 16x/3  -  19/3