Page 63 - BUKU MATEMATIKA DASAR - KALKULUS DIFERENSIAL

)
)
2. f ( x 1  x, g( x 1  x
Jawab :

( fog )(x )  f (g (x ))

1 g (x )

1   1  x
 x

(gof )(x )  g ( f (x ))

1 f (x )

1  1  x

Berdasarkan a dan b ( fog )(x )  (gof )(x )
1 1 x
3. (xf )  , g (x )   2

2 x
Jawab :

( fog )(x )  f (g (x ))
 1

2 g (x )

1


2  1 x 2

(gof )(x )  g ( f (x ))

 1 f 2 (x )

 1  2

 1  
 2  x 



 1   1 
  44 x  x 2 

3 4x  x 2

4  4x  x 2

Berdasarkan a dan b ( fog )(x )  (gof )(x )