Roboguru
SD

DIketahui f(x)=4x−1 dan g(x)=2x+37x−5​, x=−23​. Hasil operasi fungsi (f−g)(x) adalah ....

Pertanyaan

DIketahui f open parentheses x close parentheses equals 4 x minus 1 space dan space g open parentheses x close parentheses equals fraction numerator 7 x minus 5 over denominator 2 x plus 3 end fraction comma space x not equal to negative 3 over 2. Hasil operasi fungsi open parentheses f minus g close parentheses open parentheses x close parentheses adalah ....

  1. fraction numerator 8 x squared plus 3 x plus 8 over denominator 2 x plus 3 end fraction comma space x not equal to negative 3 over 2 

  2. fraction numerator 8 x squared minus 3 x plus 2 over denominator 2 x plus 3 end fraction comma space x not equal to negative 3 over 2 

  3. fraction numerator 8 x squared plus 3 x plus 2 over denominator 2 x plus 3 end fraction comma space x not equal to negative 3 over 2 

  4. fraction numerator 8 x squared plus 2 x plus 3 over denominator 2 x plus 3 end fraction comma space x not equal to negative 3 over 2 

  5. fraction numerator 8 x squared plus 2 x minus 3 over denominator 2 x plus 3 end fraction comma space x not equal to negative 3 over 2 

H. Endah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah C.

Pembahasan

Hasil operasi fungsi open parentheses f minus g close parentheses open parentheses x close parentheses didapatkan:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f minus g close parentheses open parentheses x close parentheses end cell equals cell open parentheses 4 x minus 1 close parentheses minus open parentheses fraction numerator 7 x minus 5 over denominator 2 x plus 3 end fraction close parentheses end cell row blank equals cell fraction numerator open parentheses 4 x minus 1 close parentheses open parentheses 2 x plus 3 close parentheses minus open parentheses 7 x minus 5 close parentheses over denominator 2 x plus 3 end fraction end cell row blank equals cell fraction numerator open parentheses 8 x squared plus 10 x minus 3 close parentheses minus open parentheses 7 x minus 5 close parentheses over denominator 2 x plus 3 end fraction end cell row blank equals cell fraction numerator 8 x squared plus 10 x minus 3 minus 7 x plus 5 over denominator 2 x plus 3 end fraction end cell row blank equals cell fraction numerator 8 x squared plus 3 x plus 2 over denominator 2 x plus 3 end fraction end cell end table 

Dengan demikian, hasil operasi fungsi open parentheses f minus g close parentheses open parentheses x close parentheses adalah fraction numerator 8 x squared plus 3 x plus 2 over denominator 2 x plus 3 end fraction comma space x not equal to negative 3 over 2.

Jadi, jawaban yang benar adalah C.

87

5.0 (5 rating)

Pertanyaan serupa

Misal f(x)=3x+1 maka [f(x)]2−f(x2)−2f(x)=....

51

4.5

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia