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Pertanyaan

Jika begin mathsize 14px style f end style dan begin mathsize 14px style g end style adalah fungsi dalam begin mathsize 14px style R end style dengan begin mathsize 14px style f open parentheses x close parentheses equals x plus 5 end style dan begin mathsize 14px style g open parentheses x close parentheses equals 3 x plus 4 end style, tentukan:

c. begin mathsize 14px style left parenthesis f ring operator g right parenthesis to the power of negative 1 end exponent left parenthesis 1 right parenthesis end style

H. Eka

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

 begin mathsize 14px style left parenthesis f ring operator g right parenthesis to the power of negative 1 end exponent left parenthesis 1 right parenthesis equals negative 8 over 3 end style

Pembahasan

Diketahui begin mathsize 14px style f open parentheses x close parentheses equals x plus 5 end style dan begin mathsize 14px style g open parentheses x close parentheses equals 3 x plus 4 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 open parentheses x close parentheses end cell equals cell f open parentheses g open parentheses x close parentheses close parentheses end cell row blank equals cell open parentheses 3 x plus 4 close parentheses plus 5 end cell row blank equals cell 3 x plus 9 end cell end table end style

Selanjutnya, akan ditentukan begin mathsize 14px style open parentheses f ring operator g close parentheses to the power of negative 1 end exponent open parentheses x close parentheses end style sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell 3 x plus 9 end cell row cell y minus 9 end cell equals cell 3 x end cell row x equals cell fraction numerator y minus 9 over denominator 3 end fraction end cell row cell open parentheses f ring operator g close parentheses to the power of negative 1 end exponent open parentheses x close parentheses end cell equals cell fraction numerator x minus 9 over denominator 3 end fraction end cell end table end style

Diperoleh Error converting from MathML to accessible text. sehingga

begin mathsize 14px style open parentheses f ring operator g close parentheses to the power of negative 1 end exponent open parentheses 1 close parentheses equals fraction numerator 1 minus 9 over denominator 3 end fraction equals negative 8 over 3 end style

Dengan demikian, begin mathsize 14px style left parenthesis f ring operator g right parenthesis to the power of negative 1 end exponent left parenthesis 1 right parenthesis equals negative 8 over 3 end style

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