Diketahui

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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