Pertanyaan

Diketahui f ( x ) = x + 2 dan g ( x ) = 2 x + 1 x − 2 maka ( f ∘ g ) ( 0 ) = ...

Diketahui $f (x) = x + 2$ dan $g (x) = \frac{x - 2}{2 x + 1}$ maka $(f \circ g) (0) = ...$

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Jawaban terverifikasi

Jawaban

jawaban yang benar adalah E.

Pembahasan

Oleh karena itu, jawaban yang benar adalah E.

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

Oleh karena itu, jawaban yang benar adalah E.