Diketahui   f(x)=x+7g(x)=5x−8h(x)=x+32x−1​  Tentukan (h∘f)(x)  ...

Pertanyaan

Diketahui   begin mathsize 14px style f left parenthesis x right parenthesis equals x plus 7 g left parenthesis x right parenthesis equals 5 x minus 8 h left parenthesis x right parenthesis equals fraction numerator 2 x minus 1 over denominator x plus 3 end fraction end style  Tentukan begin mathsize 14px style open parentheses h ring operator f close parentheses left parenthesis x right parenthesis end style  undefined 

 

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A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

Diketahui : 

 

begin mathsize 14px style f left parenthesis x right parenthesis equals x plus 7 h left parenthesis x right parenthesis equals fraction numerator 2 x minus 1 over denominator x plus 3 end fraction end style 

Ditanya : 

begin mathsize 14px style open parentheses h ring operator f close parentheses left parenthesis x right parenthesis end style

Jawab :

begin mathsize 14px style left parenthesis h ring operator f right parenthesis left parenthesis x right parenthesis equals h left parenthesis f left parenthesis x right parenthesis right parenthesis left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals h left parenthesis x plus 7 right parenthesis left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator 2 left parenthesis x plus 7 right parenthesis minus 1 over denominator left parenthesis x plus 7 right parenthesis plus 3 end fraction left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator 2 x plus 14 minus 1 over denominator x plus 10 end fraction left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator 2 x plus 13 over denominator x plus 10 end fraction end style   

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Jika f(x)=x+1 dan g(x)=x2 maka (f∘g)(x) adalah . . .

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