Shirleen S

21 Oktober 2024 15:25

Iklan

Shirleen S

21 Oktober 2024 15:25

Pertanyaan

no 3 aja

no 3 aja

alt

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

02

:

02

:

10

:

48

Klaim

2

2

Jawaban terverifikasi

Iklan

Sumber W

Community

22 Oktober 2024 02:08

Jawaban terverifikasi

<p>ok, saya bantu jawab ya....</p><p>&nbsp;</p><p>f(x) = ax + b</p><p>&nbsp;</p><p>1. <strong>Menentukan persamaan fungsi</strong></p><p>&nbsp; &nbsp; &nbsp;f(-3) = -15 --&gt; -15 = -3a + b &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; (1)</p><p>&nbsp; &nbsp; &nbsp;f(3) = 9 &nbsp; &nbsp; &nbsp; --&gt; &nbsp;<u> &nbsp; 9 = 3a + b &nbsp;&nbsp;</u> _ &nbsp; &nbsp; &nbsp;(2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; -24 = -6a</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; a = -24/-6</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; a = 4</p><p>&nbsp; &nbsp; &nbsp; Substitusikan a = 4 ke persamaan (2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp;9 = 3a + b</p><p>&nbsp; &nbsp; &nbsp; &nbsp;9 = 3(4) + b</p><p>&nbsp; &nbsp; &nbsp; &nbsp;9 = 12 + b</p><p>&nbsp; &nbsp; &nbsp; &nbsp;9 - 12 = b</p><p>&nbsp; &nbsp; &nbsp; &nbsp; b = -3</p><p>&nbsp; &nbsp; &nbsp; &nbsp;Substitusikan a = 4 dan b = -3 ke rumus umum fungsi</p><p>&nbsp; &nbsp; &nbsp; &nbsp;f(x) = ax + b</p><p>&nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<strong>f(x) = 4x - 3</strong></p><p><strong>&nbsp; &nbsp; &nbsp; &nbsp;&nbsp;</strong>Jadi, persamaan fungsinya adalah f(x) = 4x - 3</p><p>&nbsp;</p><p>b. Menentukan nilai f(-5) + f(5)</p><p>&nbsp; &nbsp; &nbsp;f(-5) = 4(-5) - 3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= -20 - 3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= -23</p><p>&nbsp; &nbsp; &nbsp;f(5) = 4(5) - 3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 20 - 3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 17</p><p>&nbsp; &nbsp; &nbsp;f(-5) + f(5) = -23 + 17 = -6</p><p>&nbsp; &nbsp; &nbsp;Jadi, nilai f(-5) + f(5) adalah -6</p><p>&nbsp;</p><p>3. Domain = {-2,-1, 1, 2}</p><p>&nbsp; &nbsp; &nbsp;f(x) = 4x - 3</p><ul><li>x = -2 --&gt; f(-2) = 4(-2) - 3 = -8 - 3 = -11</li><li>x = -1 --&gt; f(-1) = 4(-1) - 3 = -4 - 3 = -7</li><li>x = 1 --&gt; f(1) = 4(1) - 3 = 4 - 3 = 1</li><li>x = 2 --&gt; f(2) = 4(2) - 3 = 8 - 3 = 5</li></ul><p>&nbsp; &nbsp; &nbsp;</p>

ok, saya bantu jawab ya....

 

f(x) = ax + b

 

1. Menentukan persamaan fungsi

     f(-3) = -15 --> -15 = -3a + b           (1)

     f(3) = 9       -->     9 = 3a + b    _      (2)

                                  -24 = -6a

                                  a = -24/-6

                                  a = 4

      Substitusikan a = 4 ke persamaan (2)

       9 = 3a + b

       9 = 3(4) + b

       9 = 12 + b

       9 - 12 = b

        b = -3

       Substitusikan a = 4 dan b = -3 ke rumus umum fungsi

       f(x) = ax + b

        f(x) = 4x - 3

        Jadi, persamaan fungsinya adalah f(x) = 4x - 3

 

b. Menentukan nilai f(-5) + f(5)

     f(-5) = 4(-5) - 3

               = -20 - 3

               = -23

     f(5) = 4(5) - 3

             = 20 - 3

             = 17

     f(-5) + f(5) = -23 + 17 = -6

     Jadi, nilai f(-5) + f(5) adalah -6

 

3. Domain = {-2,-1, 1, 2}

     f(x) = 4x - 3

  • x = -2 --> f(-2) = 4(-2) - 3 = -8 - 3 = -11
  • x = -1 --> f(-1) = 4(-1) - 3 = -4 - 3 = -7
  • x = 1 --> f(1) = 4(1) - 3 = 4 - 3 = 1
  • x = 2 --> f(2) = 4(2) - 3 = 8 - 3 = 5

     

alt

Iklan

W. Lestari

Mahasiswa/Alumni Universitas Sriwijaya

22 Oktober 2024 03:01

Jawaban terverifikasi

<p>Perhatikan pembahasan pada gambar yang dilampirkan ya ^^</p>

Perhatikan pembahasan pada gambar yang dilampirkan ya ^^

alt

Mau pemahaman lebih dalam untuk soal ini?

Tanya ke AiRIS

Yuk, cobain chat dan belajar bareng AiRIS, teman pintarmu!

Chat AiRIS

LATIHAN SOAL GRATIS!

Drill Soal

Latihan soal sesuai topik yang kamu mau untuk persiapan ujian

Cobain Drill Soal

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

Pertanyaan serupa

Dalam suatu kelas terdapat 40 siswa, 34 siswa suka matematika dan 22 siswa tidak menyukai keduanya. Ketika seorang siswa dipilih secara acak, maka temukan minimal sebanyak 3 cara berbeda untuk menentukan berapa banyak peluang siswa tersebut menyukai matematika setelah mengetahui dia menyukai fisika!

67

5.0

Jawaban terverifikasi