Pertanyaan

Jika f ( x ) = 2 x + 1 , g ( x ) = x 2 − 4 dan h ( x ) = x − 2 1 . Komposisi fungsi ( g ∘ h ∘ f ) ( x ) = ...

Jika $f (x) = 2 x + 1, g (x) = x^{2} - 4 dan h (x) = \frac{1}{x - 2}$ . Komposisi fungsi $(g \circ h \circ f) (x) = ...$

$fraction numerator 16 x squared plus 16 x minus 3 over denominator 4 x squared plus 4 x plus 1 end fraction$
$fraction numerator 16 x squared minus 16 x plus 3 over denominator 4 x squared plus 4 x plus 1 end fraction$
$fraction numerator negative 16 x squared plus 16 x minus 3 over denominator 4 x squared minus 4 x plus 1 end fraction$
$fraction numerator 16 x squared minus 16 x minus 3 over denominator 4 x squared plus 4 x plus 1 end fraction$
$fraction numerator negative 16 x squared minus 16 x plus 3 over denominator 4 x squared minus 4 x plus 1 end fraction$

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H. Janatu

Master Teacher

Mahasiswa/Alumni Universitas Riau

Jawaban terverifikasi

Pembahasan

Diketahui , maka Jadi, jawaban yang tepat adalah C.

Diketahui $f left parenthesis x right parenthesis equals 2 x plus 1 comma space g left parenthesis x right parenthesis equals x squared minus 4 space dan space h left parenthesis x right parenthesis equals fraction numerator 1 over denominator x minus 2 end fraction$ , maka

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g ring operator h ring operator f close parentheses open parentheses x close parentheses end cell equals cell g open parentheses h open parentheses f open parentheses x close parentheses close parentheses close parentheses end cell row blank equals cell g open parentheses h open parentheses 2 x plus 1 close parentheses close parentheses end cell row blank equals cell g open parentheses fraction numerator 1 over denominator 2 x plus 1 minus 2 end fraction close parentheses end cell row blank equals cell g open parentheses fraction numerator 1 over denominator 2 x minus 1 end fraction close parentheses end cell row blank equals cell open parentheses fraction numerator 1 over denominator 2 x minus 1 end fraction close parentheses squared minus 4 end cell row blank equals cell fraction numerator 1 over denominator 4 x squared minus 4 x plus 1 end fraction minus 4 end cell row blank equals cell fraction numerator 1 over denominator 4 x squared minus 4 x plus 1 end fraction minus fraction numerator 4 open parentheses 4 x squared minus 4 x plus 1 close parentheses over denominator 4 x squared minus 4 x plus 1 end fraction end cell row blank equals cell fraction numerator 1 minus 4 open parentheses 4 x squared minus 4 x plus 1 close parentheses over denominator 4 x squared minus 4 x plus 1 end fraction end cell row blank equals cell fraction numerator negative 16 x squared plus 16 x minus 3 over denominator 4 x squared minus 4 x plus 1 end fraction end cell end table$

Jadi, jawaban yang tepat adalah C.

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