1. Hasil hari |12|- |-3| =...
Jawab :
|12|- |-3|
= 12 - 3
= 9
2. |-24/36| x |-6|=...
Jawab :
|-24/36| x |-6|
= 24/36 x 6
= 24/6
= 4
3. Hasil dari |2 x 4 - 10| - |1-2 x 3| x |1 +2|
Jawab :
| 2 x 4 - 10| - |1- 2 x 3| x |1 + 2 |
= | 8 - 10| - | 1-6 | x | 3 |
= | -2 | - |-5 | x | 3|
= 2 - 5 x 3
= 2 -15
= - 13
4. | 5 | - 3 x |4/-3| + |-2 |^2
Jawab :
= 5 - 3 x 4/3 + 4
= 5 - 4 + 4
= 1 + 4
= 5
5.Hasil dari | - a | x | a | - | -a^2| x (-2)=...
Jawab :
= a x a - a ^2 x -2
= a ^2 +2 a^2
= 3 a^2
6.Nilai |10 + x - x ^2| untuk x = 20 adalah..
Jawab :
= |10 + (20) - (20)^2 |
= | 10 + (20) - 400|
= | 30 - 400|
= | - 370|
= 370
7.Diketahui f(x) = |x - 5|
Nilai f(0) + f(5) - f(10) x f(-2 ) =...
Jawab :
f (0) = | 0 - 5 |
= | -5 |
= 5
f (5 ) = |5- 5|
= | 0 |
= 0
f (10) = | 10 - 5 |
= | 5 |
= 5
f ( -2) = | -2 - 5|
= | - 7 |
= 7
* f(0)+ f (5) - f (10) x f(-2)
= 5 +0 - 5 x 7
= 5+0-35
= 5 - 35
= -30
8 Diketahui f(x) = |2 x - 1| dan g(x ) = |5 - x|.Nilai f( 3) - g (3)=...
Jawab :
f(x) = | 2x - 1|
f(3) = | 2 x 3 - 1|
= | 6 - 1|
= | -5 |
= 5
g (x) = | 5 - x |
g (3) = | 5 - 3|
= | 2 |
= 2
* f (3) - 9(3)
= 5 - 2
= 3
9 Bentuk sederhana dari |x + 4| + |5- 2x| - |x -2| untuk nilai x >10 adalah
Note »maaf karena keyboardnya gak ada lambangnya lebih dari/sama dgn satu
>_: lebih dari atau sama dengan satu
< : kurang dari
Jawab :
(+) x + 4 >_0
x >_ -4. √
( - ) x + 4 < 0
x < - 4. X
(+) 5- 2x >_ 0
-2x >_ -5
x <_ -5/-2. X
x <_ 5/2
(- ) 5 - 2x <0
- 2x <-5
x >-5/-2
x >5/2. √
(+ ) x - 2 >_0
x >_2 √
( - ) x - 2 < 0
x <2 X
* | x + 4 | + | 5 - 2 x | - | x - 2|
= (x + 4) + - ( 5 - 2x) - ( x - 2)
= x + 4 -5 + 2x - x + 2
= x + 2x - x + 4 - 5 + 2
= 3x - x +1
= 2x + 1
10. Bentuk sederhana dari |3x - 6|- |x - 4| |x + 1| untuk nilai 2 < x < 4 adalah...
Jawab :
(+)3 x - 6 >_0
3x >_6
x >_6/3 √
x >_ 2
(-) 3x - 6 < 0
3 x <6
x < 6 /3 X
x < 2
(+) x - 4 >_ 0
x >_4 X
(-) x - 4 < 0
x < 4 √
(+) x + 1 >_0
x >_ -1 √
(-) x + 1 < 0
x < -1 X
* | 3 x - 6 | - | x - 4 | |x +1|
= (3x - 6 ) - (-(x - 4 ) ( x + 1)
= 3 x - 6 +( x - 4 ) (x +1 )
= 3x - 6 + x^2 + x - 4 x -4
= x^2 + 3x - 4 x + x - 6 -4
= x^2 - 10
B. Kerajakan soal - soal berikut
1a.|2|| - 12|-|6||-3^2|
Jawab:
= 2 . 12 - 6. 9
= 24 - 54
= - 30
b. |5/-2 x 3| |-24| (- |1/6|)
Jawab :
= |15/-2| |-24| ( - 1/6)
= 15/2 . 24 . -1/6
= 15.12.-1/6
= 15.2.-1
= -30
2.Gambarlah fungsi mutlak berikut.
a. f(x) = |3x - 2|
* f (-4) = | 3.-4 -2|
= |- 12 - 2|
= | - 14|
= 14
* f(-3) = | 3.-3 - 2 |
= | -9 -2 |
= | - 11|
= 11
* f(-2) = |3.-2 -2|
= | -6 -2|
= |-8|
= 8
* f(-1) = |3.-1-2|
= |-3 -2 |
= | -5|
= 5
* f (0) = |3.0-2|
= |0-2|
= |-2|
= 2
* f (1) = |3.1- 2|
= |3 - 2|
= | 1|
= 1
* f (2) = |3.2 -2 |
= | 6 -2|
= | 4 |
= 4
* f(3) = |3.3-2|
= |9 -2|
= |7|
= 7
* f(4) = |3.4 - 2|
= | 12 -2 |
= |10|
= 10
Note : Maaf teman - teman, dasbor blogernya lagi rewel gak bisa masukin gambar grafiknya
b. g(x) = |x+4| - 6
* g (-4) = |-4+4| -6
= |0| -6
= -6
* g(-3) = |-3 + 4|-6
= | 1| - 6
= 1- 6
= -5
* g(-2) = |-2+4|-6
= |2| -6
= 2-6
= -4
* g(-1)= |-1+ 4| -6
= |3 | -6
= 3-6
= -3
* g(0) = |0+4| -6
= |4| -6
= 4 - 6
= -2
* g(1) = |1+4| -6
= |5| -6
= 5-6
= -1
* g(2)= |2+4| -6
= |6| -6
= 6-6
= 0
*g(3) = |3+4|-6
= |7| -6
= 7-6
= 1
*g(4) = |4 +4|-6
= |8|-6
= 8-6
= 2
Note : Maaf teman - teman, dasbor blogernya lagi rewel gak bisa masukin gambar grafiknya
3.Diketahui f (x) = |3x+9|
Tentukan nilai (f(-4) x f(-1) + f(3)/|-3|)
Jawab :
f(-4) = |3.-4 + 9|
= | -12 + 9|
= |-3|
= 3
f(-1) = |3.-1 + 9|
= |-3 +9|
= |6|
= 6
f(3) = |3.3+ 9|
= |9 + 9|
= | 18|
= 18
* (f(-4)x f(-1)+f(3)/|-3|)
= 3 x 6+18/3
= 18 + 18/3
= 18 + 6
= 24
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