Roboguru

Diketahui . Fungsi

Diketahui begin mathsize 14px style f open parentheses x close parentheses equals x square root of x plus fraction numerator 1 over denominator square root of x end fraction end style. Fungsi undefined 

  1. begin mathsize 14px style fraction numerator x squared minus 1 over denominator 2 x square root of x end fraction end style   

  2. begin mathsize 14px style fraction numerator 2 x squared minus 1 over denominator 2 x square root of x end fraction end style  

  3. begin mathsize 14px style fraction numerator 3 x squared minus 1 over denominator 2 x square root of x end fraction end style  

  4. fraction numerator size 14px 4 size 14px x to the power of size 14px 2 size 14px minus size 14px 1 over denominator size 14px 2 size 14px x square root of size 14px x end fraction  

  5. begin mathsize 14px style fraction numerator 5 x squared minus 1 over denominator 2 x square root of x end fraction space space end style  

Jawaban:

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 x square root of x plus fraction numerator 1 over denominator square root of x end fraction end cell row blank equals cell x to the power of 3 over 2 end exponent plus x to the power of negative 1 half end exponent end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell 3 over 2 x to the power of 1 half end exponent minus 1 half x to the power of negative 3 over 2 end exponent end cell row blank equals cell 3 over 2 square root of x minus fraction numerator 1 over denominator 2 x square root of x end fraction end cell row blank equals cell fraction numerator 3 x squared minus 1 over denominator 2 x square root of x end fraction end cell end table end style

Jadi, jawaban yang tepat adalah C.
 

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