Pertanyaan

Diketahui f ( x ) = x x + x 1 . Fungsi f ( x ) = ....

Diketahui $f (x) = x x + \frac{1}{x}$ . Fungsi $f (x) = ....$

$begin mathsize 14px style fraction numerator x squared minus 1 over denominator 2 x square root of x end fraction end style$
$begin mathsize 14px style fraction numerator 2 x squared minus 1 over denominator 2 x square root of x end fraction end style$
$begin mathsize 14px style fraction numerator 3 x squared minus 1 over denominator 2 x square root of x end fraction end style$
$fraction numerator size 14px 4 size 14px x to the power of size 14px 2 size 14px minus size 14px 1 over denominator size 14px 2 size 14px x square root of size 14px x end fraction$
$begin mathsize 14px style fraction numerator 5 x squared minus 1 over denominator 2 x square root of x end fraction space space end style$

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Jawaban terverifikasi

Pembahasan

Jadi, jawaban yang tepat adalah C.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell x square root of x plus fraction numerator 1 over denominator square root of x end fraction end cell row blank equals cell x to the power of 3 over 2 end exponent plus x to the power of negative 1 half end exponent end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell 3 over 2 x to the power of 1 half end exponent minus 1 half x to the power of negative 3 over 2 end exponent end cell row blank equals cell 3 over 2 square root of x minus fraction numerator 1 over denominator 2 x square root of x end fraction end cell row blank equals cell fraction numerator 3 x squared minus 1 over denominator 2 x square root of x end fraction end cell end table end style$

Jadi, jawaban yang tepat adalah C.