Diketahui fungsi g(x)=x+5x2−4x−45 Nilai g(1)+5g (5)

Pertanyaan

Diketahui fungsi $g open parentheses x close parentheses equals fraction numerator x squared minus 4 x minus 45 over denominator x plus 5 end fraction$ Nilai $g\left(1\right)+5g\;\;\left(5\right)$

A. Rahmawati

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

nilai dari g open parentheses 1 close parentheses plus 5 g apostrophe apostrophe open parentheses 5 close parentheses

adalah 12.

Pembahasan

Diketahui :

fungsi $g open parentheses x close parentheses equals fraction numerator x squared minus 4 x minus 45 over denominator x plus 5 end fraction$

Ditanya :

Nilai g open parentheses 1 close parentheses plus 5 g apostrophe apostrophe open parentheses 5 close parentheses

Penyelesaian

$table attributes columnalign right center left columnspacing 0px end attributes row cell g open parentheses x close parentheses end cell equals cell fraction numerator x squared minus 4 x minus 45 over denominator x plus 5 end fraction end cell row cell straight g open parentheses 1 close parentheses end cell equals cell fraction numerator 1 minus 4 minus 45 over denominator 6 end fraction end cell row blank equals cell fraction numerator negative 48 over denominator 6 end fraction end cell row blank equals cell negative 8 end cell row cell g open parentheses x close parentheses end cell equals cell fraction numerator x squared minus 4 x minus 45 over denominator x plus 5 end fraction end cell row cell g open parentheses 5 close parentheses end cell equals cell fraction numerator 25 minus 20 minus 45 over denominator 10 end fraction end cell row blank equals cell fraction numerator negative 40 over denominator 10 end fraction end cell row blank equals cell negative 4 end cell row cell 5 g open parentheses 5 close parentheses end cell equals cell negative 20 end cell row cell g open parentheses 1 close parentheses plus g open parentheses 5 close parentheses end cell equals cell negative 8 minus open parentheses 20 close parentheses end cell row blank equals 12 end table$

Jadi, nilai dari g open parentheses 1 close parentheses plus 5 g apostrophe apostrophe open parentheses 5 close parentheses adalah 12.