f(x)=2x+5
g(x)=x-1
h(x)=2x-1/6
Tentukan
1. (fog)(x)
2. (foh) (x)
3. (goh) (x)
4. (fogoh) (x)
Diketahui
Penjelasan dengan langkah-langkah:
f(x)=2x+5
g(x)=x-1
h(x)=2x-1/6
1. (fog)(x)
= f (g (x))
= 2 (x – 1 ) + 5
= 2x -2 + 5
= 2x + 3
2. (foh) (x)
= f (h (x))
= 2 (2x-1/6) + 5
= 4x -2 /12 + 5
= 4x – 2 /12 + 60/12
= 4x +58 / 12
= 2x + 29 / 6
3. (goh) (x)
= g (h (x))
= x – 1
= 2x- 1/6 – 1
= 2x – 1 /6 – 6/6
= 2x – 7/6
4. (fogoh) (x)
=fog (h (x))
= 2x + 3
= 2 (2x – 1/6) + 3
= 4x – 2/6 + 18/6
= 4x + 16/6
= 2x + 8/3