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Diketahui f space dan space g adalah fungsi-fungsi dalam straight real numbers. Jika begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator 2 x minus 1 over denominator x plus 3 end fraction comma space x not equal to negative 3 end style dan begin mathsize 14px style g open parentheses x close parentheses equals 4 x minus 3 end style maka 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 adalah...space 

S. Dwi

Master Teacher

Jawaban terverifikasi

Jawaban

rumus fungsi yang dimaksud adalah Error converting from MathML to accessible text.space 

Pembahasan

Berdasarkan yang diketahui maka:

begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals f left parenthesis g open parentheses x close parentheses right parenthesis space space space space space space space space space space space space space space space equals fraction numerator 2 left parenthesis 4 x minus 3 right parenthesis minus 1 over denominator left parenthesis 4 x minus 3 right parenthesis plus 3 end fraction space space space space space space space space space space space space space space space equals fraction numerator 8 x minus 6 minus 1 over denominator 4 x minus 3 plus 3 end fraction space space space space space space space space space space space space space space space equals fraction numerator 8 x minus 7 over denominator 4 x end fraction end style

Jika terdapat suatu fungsi begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator a x plus b over denominator c x plus d end fraction end style maka begin mathsize 14px style f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator negative d x plus b over denominator c x minus a end fraction end style. Sehingga,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes 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 open parentheses fraction numerator 8 x minus 7 over denominator 4 x end fraction close parentheses to the power of negative 1 end exponent end cell row blank equals cell fraction numerator negative 7 over denominator 4 x minus 8 end fraction end cell end table end style

Jadi, rumus fungsi yang dimaksud adalah Error converting from MathML to accessible text.space 

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