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Question

Let $f : \mathbb{R} \rightarrow \mathbb{R}$ be defined by $f(x) = 3x^2 - 5$ and $g: \mathbb{R} \rightarrow \mathbb{R}$ by $g(x) = \frac{x}{x^2 + 1}$, then $g \circ f$ is

$\frac{3x^2}{x^4 + 2x^2 - 4}$

$\frac{3x^2}{9x^4 + 30x^2 - 2}$

$\frac{3x^2 - 5}{9x^4 - 30x^2 + 26}$

$\frac{3x^2 - 5}{9x^4 - 6x^2 + 26}$

Solution

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