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Jika diketahui f (x)=6x2−2x+2 dan f(0)=−4. Maka f(x) adalah ...

Pertanyaan

 Jika diketahui f apostrophe left parenthesis x right parenthesis equals 6 x squared minus 2 x plus 2 dan f left parenthesis 0 right parenthesis equals negative 4. Maka f left parenthesis x right parenthesis adalah ...

  1. 2 x cubed minus x squared plus 3 x plus 4

  2. 3 x cubed minus x squared plus 2 x plus 4

  3. 3 x cubed minus x squared plus 3 x plus 4

  4. 2 x cubed minus x squared plus 2 x plus 4

  5. 3 x cubed minus x squared plus x plus 4

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D

Pembahasan

Diketahui f apostrophe left parenthesis x right parenthesis equals 6 x squared minus 2 x plus 2, maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell integral f apostrophe left parenthesis x right parenthesis space d x end cell row blank equals cell integral left parenthesis 6 x squared minus 2 x plus 2 right parenthesis space d x end cell row blank equals cell fraction numerator 6 x cubed over denominator 3 end fraction minus fraction numerator 2 x squared over denominator 2 end fraction plus 2 x plus C end cell row blank equals cell 2 x cubed minus x squared plus 2 x plus C end cell end table 

Nilai dari f left parenthesis 0 right parenthesis equals negative 4, maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell 2 x cubed minus x squared plus 2 x plus C end cell row cell f left parenthesis 0 right parenthesis end cell equals cell 2 left parenthesis 0 cubed right parenthesis minus 0 squared plus 2 left parenthesis 0 right parenthesis plus C end cell row cell negative 4 end cell equals C end table 

Sehingga f left parenthesis x right parenthesis equals 2 x cubed minus x squared plus 2 x minus 4.

Jadi, jawaban yang tepat adalah D

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