$f(x)=x^{3}-9x$<br/><br/>$g(x)=x^{2}-2x-3$<br/><br/>Which of the following expressions is<br/><br/>$f(x)$<br/><br/>equivalent to $g(x)$ , for $x>3$ ?<br/><br/>$x+1$<br/><br/>$x+3$<br/><br/>B. $x+1$<br/><br/>$x(x-3)$<br/><br/>C. $x+1$<br/><br/>$x(x+3)$<br/><br/>B. $x+1$

MM

Mashaal Masha

Feb 21, 2024

$f(x)=x^{3}-9x$$g(x)=x^{2}-2x-3$Which of the following expressions is equivalent to $\frac{f(x)}{g(x)}$, for $x>3$?

Difficulty: Hard

A:

\frac{1}{x+1}

B:

\frac{x+3}{x+1}

C:

\frac{x(x-3)}{x+1}

D:

\frac{x(x+3)}{x+1}

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ID: 65d5b1d6dbc6daab1c0be051