Pertanyaan

Jika f ( x ) = 4 x − 3 dan g ( x ) = x − 2 x + 1 , maka tentukan: b. g ∘ f ( x )

Jika $f (x) = 4 x - 3$ dan $g (x) = \frac{x + 1}{x - 2}$ , maka tentukan:

b. $g \circ f (x)$

S. Nur

Master Teacher

Jawaban terverifikasi

Jawaban

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g ring operator f open parentheses x close parentheses

$table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 4 x minus 2 over denominator 4 x minus 5 end fraction end cell end table$ .

Pembahasan

Jika dan , maka adalah Jadi, .

Jika f open parentheses x close parentheses equals 4 x minus 3 dan $g open parentheses x close parentheses equals fraction numerator x plus 1 over denominator x minus 2 end fraction$ , maka g ring operator f open parentheses x close parentheses adalah

$table attributes columnalign right center left columnspacing 0px end attributes row cell g ring operator f open parentheses x close parentheses end cell equals cell g open parentheses 4 x minus 3 close parentheses end cell row blank equals cell fraction numerator 4 x minus 3 plus 1 over denominator 4 x minus 3 minus 2 end fraction end cell row blank equals cell fraction numerator 4 x minus 2 over denominator 4 x minus 5 end fraction end cell end table$

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