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Diketahui f ( x + 5 ) = 3 x 2 + 10 x − 3 dan g ( 4 x − 1 ) = 2 x + 2 1 − 8 x ​ . Tentukan hasil berikut d. ( f 3 g ​ ) ( x )

Diketahui  dan  Tentukan hasil berikut

d.  

  1. ...space 

  2. ...undefined 

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Jawaban terverifikasi

Jawaban

adalah

begin mathsize 14px style fraction numerator 3 g over denominator f end fraction open parentheses x close parentheses end style adalah begin mathsize 14px style fraction numerator negative 9 x plus 3 over denominator left parenthesis x plus 5 right parenthesis left parenthesis 3 x squared plus 55 x plus 47 right parenthesis end fraction. end style  

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Pembahasan
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Jadi, adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 3 g over denominator f end fraction open parentheses x close parentheses end cell equals cell fraction numerator 3 open parentheses begin display style fraction numerator negative 3 x plus 1 over denominator x plus 5 end fraction end style close parentheses over denominator 3 x squared plus 55 x plus 47 end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator negative 9 x plus 3 over denominator x plus 5 end fraction end style over denominator 3 x squared plus 55 x plus 47 end fraction end cell row blank equals cell fraction numerator negative 9 x plus 3 over denominator x plus 5 end fraction times fraction numerator 1 over denominator 3 x squared plus 55 x plus 47 end fraction end cell row cell fraction numerator 3 g over denominator f end fraction open parentheses x close parentheses end cell equals cell fraction numerator negative 9 x plus 3 over denominator open parentheses x plus 5 close parentheses open parentheses 3 x squared plus 55 x plus 47 close parentheses end fraction end cell end table end style 

Jadi, begin mathsize 14px style fraction numerator 3 g over denominator f end fraction open parentheses x close parentheses end style adalah begin mathsize 14px style fraction numerator negative 9 x plus 3 over denominator left parenthesis x plus 5 right parenthesis left parenthesis 3 x squared plus 55 x plus 47 right parenthesis end fraction. end style  

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Jika f ( x ) = x 2 − 1 dan g ( x ) = x + 1 , maka nilai dari ( g f ​ ) ( − 7 ) = ....

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