Pertanyaan

Diketahui fungsi f ( x ) = x 2 + 4 x + 1 dan g(x) = 2x + 1. Fungsi komposisi (fog)(x) = ....

Diketahui fungsi dan g(x) = 2x + 1. Fungsi komposisi (fog)(x) = ....

  1. 4 x squared space plus space 12 x space plus space 6

  2. 4 x squared space plus space 8 x space plus space 6

  3. 2 x squared space plus space 12 x space plus space 4

  4. 2 x squared space plus space 8 x space plus space 4

  5. 2 x squared space plus space 8 x space plus space 1

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

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Pembahasan

Fungsi komposisi diicari dengan,

f left parenthesis x right parenthesis equals x squared plus 4 x plus 1  g left parenthesis x right parenthesis equals 2 x plus 1

Fungsi komposisi diicari dengan,

table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end cell equals cell f left parenthesis g left parenthesis x right parenthesis right parenthesis end cell row blank equals cell f left parenthesis 2 x plus 1 right parenthesis end cell row blank equals cell left parenthesis 2 x plus 1 right parenthesis squared plus 4 left parenthesis 2 x plus 1 right parenthesis plus 1 end cell row blank equals cell 4 x squared plus 4 x plus 1 plus 8 x plus 4 plus 1 end cell row blank equals cell 4 x squared plus 12 x plus 6 end cell end table

Maria Nisa

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Diketahui f ( x ) = x 2 + 1 dan g ( x ) = a x + 2 , dengan a  = 0 . Jika ( f ∘ g ) − 1 ( 1 ) = 5 , maka 4 a 2 − 3 = ...

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