Pertanyaan

Jika g ( x + 1 ) = 2 x − 1 dan f ( g ( x + 1 )) = 2 x + 4 , maka f ( 0 ) = ...

Jika $g (x + 1) = 2 x - 1$ dan $f (g (x + 1)) = 2 x + 4$ , maka $f (0) = ...$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Misalkan, Maka: Akan ditentukan Jadi, jawaban yang tepat adalah B.

table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis g left parenthesis x plus 1 right parenthesis right parenthesis end cell equals cell 2 x plus 4 end cell row cell f left parenthesis 2 x minus 1 right parenthesis end cell equals cell 2 x plus 4 end cell end table

Misalkan,

$table attributes columnalign right center left columnspacing 0px end attributes row cell 2 x minus 1 end cell equals a row cell 2 x end cell equals cell a plus 1 end cell row x equals cell fraction numerator a plus 1 over denominator 2 end fraction end cell end table$

Maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis 2 x minus 1 right parenthesis end cell equals cell 2 x plus 4 end cell row cell f left parenthesis a right parenthesis end cell equals cell 2 open parentheses fraction numerator a plus 1 over denominator 2 end fraction close parentheses plus 4 end cell row cell f left parenthesis a right parenthesis end cell equals cell a plus 1 plus 4 end cell row cell f left parenthesis a right parenthesis end cell equals cell a plus 5 end cell end table$

Akan ditentukan f left parenthesis 0 right parenthesis

table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis a right parenthesis end cell equals cell a plus 5 end cell row cell f left parenthesis 0 right parenthesis end cell equals cell 0 plus 5 end cell row blank equals 5 row blank blank blank end table

Jadi, jawaban yang tepat adalah B.