Question

Tentukan formula untuk fungsi f(x) apabila diketahui

a) g(x) = 4x-1 dan (gof)(x) = x+5
b) g(x) = 2x+1 dan (gof)(x) = 10x-7
c) g(x) = 4x-1 dan (gof)(x) = -x+3
d) g(x) = 3-2x dan (gof)(x) =
e) g(x) = x+1 dan (gof)(x) = 3x+5

Answer 1

A. (gof) (x) = x+5
g (f(x)) = x+5
masukkan kedalam rumus g(x) = 4x-1, tapi x diganti f(x)
4.f(x) - 1 = x+5
4.f(x) = x+6
f(x) = 

b. (gof)(x) = 10x-7
g(f(x)) = 10x-7
masukka dlm rumus 2x+1, tp x diganti f(x)
2.f(x) +1 = 10x-7
2.f(x) = 10x- 8
f(x) = 
sisanya coba sendiri yaa;)