diketahui f(x)=x2_5x+6 dan g(x)=x-3,maka (f/g)(x) ..... a. x+3 b.x+2 c.x-1 d.x-2 e. x-3.... Question from @rahmaoktaviani589

rahmaoktaviani589 @rahmaoktaviani589

May 2022 1 11 Report

diketahui f(x)=x2_5x+6 dan g(x)=x-3,maka (f/g)(x) ..... a. x+3 b.x+2 c.x-1 d.x-2 e. x-3

Gusti2601

$\mathbb \color{aqua} \underbrace{JAWABAN}$

D. x - 2

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$\mathbb \color{orange} \underbrace{PENYELESAIAN}$

$\underline{ \overline{ \boxed{ \bold{diketahui}}}}$

f(x) = x² - 5x + 6
g(x) = x - 3

$\\ \underline{ \overline{ \boxed{ \bold{ditanya}}}}$

$\sf( \frac{f}{g} )(x)$

$\\ \underline{ \overline{ \boxed{ \bold{jawab}}}}$

$\begin{aligned} \sf (\frac{f}{g} )(x) &= \sf \frac{f(x)}{g(x)} \\ &= \sf \frac{ {x}^{2} - 5x + 6}{x - 3} \\ &= \sf \frac{ \cancel{(x - 3)}(x - 2)}{ \cancel{x - 3}} \\ &= \bold{x - 2} \end{aligned}$

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$\mathbb \color{red} \underbrace{KESIMPULAN}$

$\text{[math]}$ Jadi, hasil dari $\bold{( \frac{f}{g}) (x)}$ adalah $\underline \bold{x - 2}$

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