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Question

Let f : R $\to$ R be defined as $f(x) = {x^3} + x - 5$. If g(x) is a function such that $f(g(x)) = x,\forall 'x' \in R$, then g'(63) is equal to ________________.

${1 \over {49}}$
${3 \over {49}}$
${43 \over {49}}$
${91 \over {49}}$

Solution

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