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Diberikan f(x)=x2+2, g(x)=x1​;x=0 dan h(x)=7−3x. Tentukan (f∘g)(x).

Pertanyaan

Diberikan begin mathsize 14px style f left parenthesis x right parenthesis equals x squared plus 2 end stylebegin mathsize 14px style g left parenthesis x right parenthesis equals 1 over x end style;begin mathsize 14px style x not equal to 0 end style dan begin mathsize 14px style h left parenthesis x right parenthesis equals 7 minus 3 x end style. Tentukan begin mathsize 14px style open parentheses f ring operator g close parentheses left parenthesis x right parenthesis end style.

A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Diberikan begin mathsize 14px style f left parenthesis x right parenthesis equals x squared plus 2 end stylebegin mathsize 14px style g left parenthesis x right parenthesis equals 1 over x end style;begin mathsize 14px style x not equal to 0 end style dan begin mathsize 14px style h left parenthesis x right parenthesis equals 7 minus 3 x end style. Akan dicari begin mathsize 14px style open parentheses f ring operator g close parentheses left parenthesis x right parenthesis end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g close parentheses left parenthesis x right parenthesis end cell equals cell f open parentheses g open parentheses x close parentheses close parentheses end cell row blank equals cell f open parentheses 1 over x close parentheses end cell row blank equals cell open parentheses 1 over x close parentheses squared plus 2 end cell row blank equals cell 1 over x squared plus 2 end cell row blank equals cell fraction numerator 1 plus 2 x squared over denominator x squared end fraction end cell end table end style 

Jadi, diperoleh 

begin mathsize 14px style open parentheses f ring operator g close parentheses left parenthesis x right parenthesis equals fraction numerator 1 plus 2 x squared over denominator x squared end fraction semicolon space x not equal to 0 end style.

17

5.0 (1 rating)

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