Let \( y=g(x) \) be the inverse of a bijective mapping \( f: R \rightarrow \) \( R, f(x)=3 x^{3}...

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Let \( y=g(x) \) be the inverse of a bijective mapping \( f: R \rightarrow \) \( R, f(x)=3 x^{3}+2 x \). The area bounded by graph of \( g(x) \), the \( x \)-axis and the ordinate at \( x=5 \) is:
(a) \( \frac{5}{4} \)
(b) \( \frac{7}{4} \)
(c) \( \frac{9}{4} \)
(d) \( \frac{13}{4} \)
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