Pertanyaan

Jika f ( x ) = x p ( q 2 2 x 2 ) + x q ( p x 2 + q x ) , maka nilai f ( p − q ) =.....

Jika $f (x) = \frac{p}{x} (\frac{2 x ^{2}}{q ^{2}}) + \frac{q}{x} (\frac{x ^{2}}{p} + \frac{x}{q})$ , maka nilai $f (p - q)$ =.....

$fraction numerator straight q to the power of 4 space minus space straight q cubed straight p space plus space straight q squared straight p space minus space 2 qp squared space plus space 2 straight p cubed over denominator space pq squared end fraction$
$fraction numerator negative straight q to the power of 4 space minus space straight q cubed straight p space plus space straight q squared straight p space minus space 2 qp squared space plus space 2 straight p cubed over denominator space pq squared end fraction$
$fraction numerator negative straight q to the power of 4 space plus space straight q cubed straight p space plus space straight q squared straight p space minus space 2 qp squared space plus space 2 straight p cubed over denominator space pq squared end fraction$
$fraction numerator negative straight q to the power of 4 space plus space straight q cubed straight p space minus space straight q squared straight p space minus space 2 qp squared space plus space 2 straight p cubed over denominator space pq squared end fraction$
$fraction numerator negative straight q to the power of 4 space plus space straight q cubed straight p space plus space straight q squared straight p space minus space 2 qp squared space minus space 2 straight p cubed over denominator space pq squared end fraction$

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$space straight f left parenthesis straight x right parenthesis equals straight p over straight x open parentheses fraction numerator 2 straight x squared over denominator straight q squared end fraction close parentheses plus straight q over straight x open parentheses straight x squared over straight p plus straight x over straight q close parentheses space straight f left parenthesis straight x right parenthesis equals fraction numerator 2 p x over denominator q squared end fraction plus fraction numerator p x over denominator q squared end fraction plus 1 equals fraction numerator 2 p left parenthesis p minus q right parenthesis over denominator q squared end fraction plus fraction numerator q left parenthesis p minus q right parenthesis over denominator p end fraction plus 1 equals fraction numerator 2 p squared left parenthesis p minus q right parenthesis plus q cubed p minus q to the power of 4 plus p q squared over denominator p q squared end fraction equals fraction numerator negative straight q to the power of 4 space plus space straight q cubed straight p space plus space straight q squared straight p space minus space 2 qp squared space plus space 2 straight p cubed over denominator space pq squared end fraction$

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