Diketahui fungsi , dengan dan . Nilai adalah .....

Diketahui fungsi $begin mathsize 14px style straight f colon straight R rightwards arrow straight R end style$ , $Error converting from MathML to accessible text.$ dengan $Error converting from MathML to accessible text.$ dan $Error converting from MathML to accessible text.$ . Nilai $Error converting from MathML to accessible text.$ adalah ....

$begin mathsize 14px style 14 end style$
$size 14px 10$
$size 14px minus size 14px 8$
$size 14px minus size 14px 10$
$size 14px minus size 14px 14$

Jawaban:

Dengan menerapkan konsep komposisi dari dua fungsi:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight f left parenthesis straight g left parenthesis straight x right parenthesis right parenthesis end cell equals cell left parenthesis straight f ring operator straight g right parenthesis left parenthesis straight x right parenthesis end cell row cell straight f left parenthesis negative straight x plus 2 right parenthesis end cell equals cell 2 straight x squared minus 15 straight x plus 23 end cell end table end style$

Misalkan: $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row straight a equals cell negative straight x plus 2 rightwards arrow straight x equals negative straight a plus 2 end cell end table end style$ , Sehingga diperoleh:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight f left parenthesis straight a right parenthesis end cell equals cell 2 left parenthesis negative straight a plus 2 right parenthesis squared minus 15 left parenthesis negative straight a plus 2 right parenthesis plus 23 end cell row cell straight f left parenthesis 1 right parenthesis end cell equals cell 2 left parenthesis negative 1 plus 2 right parenthesis squared minus 15 left parenthesis negative 1 plus 2 right parenthesis plus 23 end cell row blank equals cell 2 left parenthesis 1 right parenthesis squared minus 15 left parenthesis 1 right parenthesis plus 23 end cell row blank equals cell 2 minus 15 plus 23 end cell row blank equals 10 end table end style$

Jadi, Jika $Error converting from MathML to accessible text.$ dan $Error converting from MathML to accessible text.$ , maka nilai $begin mathsize 14px style straight f left parenthesis 1 right parenthesis equals 10 end style$ .

Oleh karena itu, Jawaban yang benar adalah B

Ruangguru

RUANGGURU HQ

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

Coba GRATIS Aplikasi Ruangguru

Download di Google Play

Download di Appstore

Produk Ruangguru

Produk Lainnya

Bantuan & Panduan

Hubungi Kami

081578200000

[email protected]

02140008000

Ikuti Kami

Instagram

Facebook

Twitter

Youtube