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Jika diketahui , invers fungsi  adalah ....

Jika diketahui begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator 5 x minus 6 over denominator 3 x minus 2 end fraction comma space x not equal to 3 over 2 end style, invers fungsi undefined adalah ....

Jawaban:

Dengan menggunakan konsep invers fungsi, maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell fraction numerator 5 x minus 6 over denominator 3 x minus 2 end fraction end cell row y equals cell fraction numerator 5 x minus 6 over denominator 3 x minus 2 end fraction end cell row cell 3 y x minus 2 y end cell equals cell 5 x minus 6 end cell row cell y x minus 5 x end cell equals cell 2 y minus 6 end cell row cell x left parenthesis 3 y minus 5 right parenthesis end cell equals cell 2 x minus 6 end cell row x equals cell fraction numerator 2 x minus 6 over denominator 3 y minus 5 end fraction end cell row cell f to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell fraction numerator 2 x minus 6 over denominator 3 x minus 5 end fraction end cell end table end style

Jadi, invers fungsi yaitu begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell f to the power of negative 1 end exponent left parenthesis x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 2 x minus 6 over denominator 3 x minus 5 end fraction end cell end table end style.

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