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Jika , invers dari adalah

Jika begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator 2 x plus 1 over denominator x minus 3 end fraction comma space x not equal to 3 end style, invers dari begin mathsize 14px style f open parentheses x close parentheses end style adalah begin mathsize 14px style f to the power of negative 1 end exponent open parentheses x close parentheses equals... end style 

  1. begin mathsize 14px style fraction numerator 3 x plus 1 over denominator x minus 2 end fraction comma space x not equal to 2 end style 

  2. begin mathsize 14px style fraction numerator 3 x minus 1 over denominator x minus 2 end fraction comma space x not equal to 2 end style 

  3. begin mathsize 14px style fraction numerator 3 x plus 1 over denominator x plus 2 end fraction comma space x not equal to negative 2 end style 

  4. begin mathsize 14px style fraction numerator 3 x plus 2 over denominator x minus 1 end fraction comma space x not equal to 1 end style 

  5. begin mathsize 14px style fraction numerator 3 x minus 2 over denominator x plus 1 end fraction comma space x not equal to negative 1 end style 

Jawaban:

begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator 2 x plus 1 over denominator x minus 3 end fraction comma space x not equal to 3 end style

Dengan memisalkan begin mathsize 14px style y equals f open parentheses x close parentheses end style, maka 

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 2 x plus 1 over denominator x minus 3 end fraction end cell row cell y open parentheses x minus 3 close parentheses end cell equals cell 2 x plus 1 end cell row cell x y minus 3 y end cell equals cell 2 x plus 1 end cell row cell x y minus 2 x end cell equals cell 3 y plus 1 end cell row cell x open parentheses y minus 2 close parentheses end cell equals cell 3 y plus 1 end cell row x equals cell fraction numerator 3 y plus 1 over denominator y minus 2 end fraction end cell end table end style 

Maka invers dari begin mathsize 14px style f open parentheses x close parentheses end style adalah 

begin mathsize 14px style f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator 3 x plus 1 over denominator x minus 2 end fraction comma space x not equal to 2 end style 

Jadi jawaban yang tepat adalah B.

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