Pertanyaan

Carilah nilai f ( x ) jika f ( x ) = x + x 2 dan f ( 1 ) = 1

Carilah nilai $f (x)$ jika $f (x) = x + \frac{2}{x}$ dan $f (1) = 1$

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

Karena , maka Sehingga

$f left parenthesis x right parenthesis equals integral open parentheses square root of x plus fraction numerator 2 over denominator square root of x blank end root end fraction close parentheses blank d x$

$f left parenthesis x right parenthesis space equals integral square root of x blank d x plus blank integral fraction numerator 2 over denominator square root of x blank end root end fraction d x$

$f open parentheses x close parentheses equals fraction numerator 1 over denominator 1 half plus 1 end fraction blank x to the power of 1 half plus 1 end exponent plus c plus fraction numerator 2 over denominator negative 1 half plus 1 end fraction blank x to the power of negative 1 half plus 1 end exponent plus c$

$f left parenthesis x right parenthesis space equals space fraction numerator 1 over denominator 3 over 2 end fraction x to the power of 3 over 2 end exponent plus fraction numerator 2 over denominator 1 half end fraction x to the power of 1 half end exponent plus C$

Karena , maka

Sehingga