Question

(fog)(x)= (gof)(x)jika g(x)3x-h dan f(x)=2x-60,maka nilai h adalah

Answer 1

F(x) = 2x - 60
g(x) = 3x - h

maka
(fog)(x)
= f ( g(x) )
= f ( 3x - h )
= 2 ( 3x - h ) - 60
= 6x - 2h - 60

(gof)(x)
= g ( f(x) )
= g ( 2x - 60)
= 3 ( 2x -60) - h
= 6x - 180 - h


Karena (fog)(x) = (gof)(x)
maka
6x - 2h - 60 = 6x -180 - h
6x - 2h - 6x + h = -180 + 60
-h = - 120
h = 120

Jadi nilai h adalah 120
Semoga bermanfaat... :)