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Diketahui fungsi R(x)=2x2−x. Hitunglah R(2)+4R(x)−R(2x−1).

Pertanyaan

Diketahui fungsi begin mathsize 14px style R open parentheses x close parentheses equals 2 x squared minus x end style. Hitunglah begin mathsize 14px style R open parentheses 2 close parentheses plus 4 R open parentheses x close parentheses minus R open parentheses 2 x minus 1 close parentheses end style

L. Rante

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

 begin mathsize 14px style R left parenthesis 2 right parenthesis plus 4 R left parenthesis x right parenthesis minus R left parenthesis 2 x minus 1 right parenthesis equals 76 x plus 3 end style

Pembahasan

begin mathsize 14px style R open parentheses x close parentheses equals 2 x squared minus x end style 

Maka 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell R open parentheses 2 close parentheses end cell equals cell 2 open parentheses 2 close parentheses squared minus open parentheses 2 close parentheses end cell row blank equals cell 8 minus 2 end cell row blank equals 6 row cell R open parentheses 2 x minus 1 close parentheses end cell equals cell 2 open parentheses 2 x minus 1 close parentheses squared minus open parentheses 2 x minus 1 close parentheses end cell row blank equals cell 2 open parentheses 4 x squared minus 4 x plus 1 close parentheses minus open parentheses 2 x minus 1 close parentheses end cell row blank equals cell 8 x squared minus 8 x plus 2 minus 2 x plus 1 end cell row blank equals cell 8 x squared minus 10 x plus 3 end cell end table end style 

Sehingga nilai dari begin mathsize 14px style R open parentheses 2 close parentheses plus 4 R open parentheses x close parentheses minus R open parentheses 2 x minus 1 close parentheses end style sebagai berikut 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell R left parenthesis 2 right parenthesis plus 4 R left parenthesis x right parenthesis minus R left parenthesis 2 x minus 1 right parenthesis end cell equals cell 6 plus 4 open parentheses 2 x squared minus x close parentheses minus open parentheses 8 x squared minus 10 x plus 3 close parentheses end cell row blank equals cell 6 plus 8 x squared minus 4 x minus 8 x squared plus 80 x minus 3 end cell row blank equals cell 76 x plus 3 end cell end table end style 

Jadi begin mathsize 14px style R left parenthesis 2 right parenthesis plus 4 R left parenthesis x right parenthesis minus R left parenthesis 2 x minus 1 right parenthesis equals 76 x plus 3 end style

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Diberikan rumus fungsi f(x)=x2.   Hitunglah nilai 2.1−2f(2.1)−f(2)​

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