Given the functions $f: R \rightarrow R$ defined by $f(x) = 2x^2 - 5$ and $g: R \rightarrow R$ defined by $g(x) = \frac{x}{x^2 + 1}$,find the composite function $(g \circ f)(x)$.

  • A
    $\frac{2x^2}{x^4 + 2x^2 - 4}$
  • B
    $\frac{2x^2 - 5}{4x^4 + 20x^2 + 26}$
  • C
    $\frac{2x^2 - 5}{4x^4 - 20x^2 + 26}$
  • D
    $\frac{2x^2}{4x^4 - 20x^2 + 26}$

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