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Diketahui . Tentukan .

Diketahui begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator negative 2 x plus 1 over denominator 3 x plus 5 end fraction semicolon x not equal to negative 5 over 3 end style. Tentukan begin mathsize 14px style f to the power of negative 1 end exponent open parentheses x close parentheses end style

Jawaban:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell f open parentheses x close parentheses end cell row y equals cell fraction numerator negative 2 x plus 1 over denominator 3 x plus 5 end fraction end cell row cell 3 x y plus 5 y end cell equals cell negative 2 x plus 1 end cell row cell 3 x y plus 2 x end cell equals cell 1 minus 5 y end cell row cell x left parenthesis 3 y plus 2 right parenthesis end cell equals cell 1 minus 5 y end cell row x equals cell fraction numerator 1 minus 5 y over denominator 3 y plus 2 end fraction end cell row blank left right double arrow cell f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator 1 minus 5 x over denominator 3 x plus 2 end fraction end cell end table end style  

Sehingga, begin mathsize 14px style f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator 1 minus 5 x over denominator 3 x plus 2 end fraction end style.

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