Roboguru

Diketahui  dan . Tentukan: b.

Pertanyaan

Diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals x squared minus 5 x plus 10 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals 7 x minus 2 end style. Tentukan:

b. begin mathsize 14px style limit as x rightwards arrow 2 of space left parenthesis f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis right parenthesis end style 

Pembahasan Soal:

Berdasarkan informasi pada soal dapat ditentukan:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of space f left parenthesis x right parenthesis end cell equals cell limit as x rightwards arrow 2 of space x squared minus 5 x plus 10 end cell row blank equals cell 2 squared minus 5 times 2 plus 10 end cell row blank equals 4 row blank blank blank row cell limit as x rightwards arrow 2 of space g left parenthesis x right parenthesis end cell equals cell limit as x rightwards arrow 2 of space 7 x minus 2 end cell row blank equals cell 7 times 2 minus 2 end cell row blank equals cell 14 minus 2 end cell row blank equals 12 end table end style 

Sehingga dapat ditentukan:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of space left parenthesis f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis right parenthesis end cell equals cell limit as x rightwards arrow 2 of space f left parenthesis x right parenthesis plus limit as x rightwards arrow 2 of space g left parenthesis x right parenthesis end cell row blank equals cell 4 plus 12 end cell row blank equals 16 end table end style

Dengan demikian, diperoleh begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 2 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 16 end table end style

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 15 Maret 2021

RUANGGURU HQ

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

Coba GRATIS Aplikasi Ruangguru

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ikuti Kami

©2021 Ruangguru. All Rights Reserved