2 $ f x( +y)= f x( )+ f y( ) ¡)
2
( ) 2
f t = +t t - 2
( ) 1
f t = +t
B f t( )=2t+4 K f t( )=3t
8 f t( )=3t2
- f x( )= +3 16−x2
{x∈¡| 4− ≤ ≤x 4} - {x∈¡|x≥4} B {x∈¡| 0≤ ≤x 4} K {x∈¡| 3≤ ≤x 7} 8 {x∈¡| 2− ≤ ≤x 2}
2 $)
3 3
3
2 8
x x x x
+
− +
-2 4 2
3
2 8
x x x x
+
− +
B 3 4 2
3
2 8
x x x x
+
− + K
2 3
3 8
x x x
+
+
8 3 8
x x+
1 ( ) 23
2 8
f x x
=
− $
{x∈¡|x≥2} - {x∈¡|x≠ −2, x≠2} B {x∈¡|x≤ −2} K {x∈¡| 0≤ <x 2} 8 {x∈¡| 2− < ≤x 2}
LATIHAN ULANGAN UMUM SEMESTER 2
2 2 @ QI
( I( II
T
6
6 B,B>
6 ( ) 8 2
f x x
=
+
2
( )
g x =x x≥0 1
(f og) ( )− x
{x∈¡|x≤4} - {x∈¡| 0< <x 4} B {x∈¡| 0≤ ≤x 4} K {x∈¡| 0≤ <x 4} 8 {x∈¡| 0< ≤x 4}
! 6f x( )=4x+2g x( )=3(gof)(0)= - !
B K
8
? 6f x( )= x+1 2
( ) 1
g x =x − (gof)( )x =
- ;
B ; K x2+1 8 <
= 6( )( ) 1 2
x
gof x = − + g x( )=4xf x( )= 1
8(− +x 2) -1 4(x−1) B 1
8(− −x 2) K 1 4(− +x 2) 8 1
8(x−2)
6(gof)( )x =2x2+4x+7 2
( ) 2 1
f x =x + x− g x( )= 2x−1 - 2x+9
B 2x−3 K 2x−9 8 2x+3
6f x( )= x2+1 1 2
( )( ) 4 5
2
f g x x x
x
= − +
−
o g x( − =3) K
1 (x−5) - 1 (x−3) B 1 (x−1) K 1 (x+3) 8 1 (x+1)
6 ( ) 2 5
3 2
x f x
x
− =
−
1 (1)
f− = - ;? B H K ; 8 ;
6" 5 4
2 5 20
y= x − x + *%(#&
/
; - B K
8
6 x1 x2 .
2
0
x +kx+ =k x12+x22
*/ ; - B K
8 H
6f x( )= −(1 2 )x3*
x<1/ 2 - 0< <x 1/ 2
B x>1/ 2 K x>0
8 x<0
! 6y=x1 3(x+4)−2 3dy dx=...
2 3 5 3 4
3 ( 4)
x x x
−
+
-2 3 5 3 1
3x (x 4) − −
+
B 2 3 5 3 4
3 ( 4)
x x x
−
+ K
2 3 5 3 5
9x (x 4) − + −
8 2 3 5 3 2
3 ( 4)
x x x
−
+
? + 3 2
6 9 7
y=x + x + x+ P %;& - %&
B %;?& K % & 8 %; &
= *
*$*U
/
1
2a
1
6a
-1 8a
B 1
3a K
1 6a
8 14a
6 $
2 ( ) 100 1.200
C n = +n $
- !
B K
8
-
$ % & p x( )= −5 0, 002x
( ) 3 1,1
C x = + x+$
? - ?
B ? K ?
8 ?
6$c>0 '( )
f c
( ) ( ) lim
x c
f x f c x c
→ −
−
D
0
2 2
lim x
x x
x
→
+ − −
B$ %25+x 4&
H
N B
$
)
+"y=x3−3x+4y=3(x2−x)$$
+# %!& 3 2
( ) 1
f x =x +ax +bx+
! 2 # %& / f '(2)=4 f ''(2)= −1'%& / '(2) 5
g = 8
d [f2( )x g3( )]x
dx + /
ii. iSIAN
d [ ( ) ( )]f x g x
dx /
* d [ ( ( ))]f g x
dx /
? $ $$
+ −
=
B $$)
= 2 f x( )= x−2 1
g= f−
+' $ +g x'( )
* 3$g x'( )f '( )x
8
> p x( )=(182−x 36)1 2* $$$
-
-,# #
0 ,
,,
,0
,
, ,
0 * 2 c f c'( ) *, 00&!
*0 FH,F
* 99"
, # * *99 0
0