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Functions question

2009 · Shift 2 · Q29
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  5. /2009 · Shift 2 · Q29

Functions question

2009 · Shift 2 · Q29

JEE AdvancedMathematicsFunctionsNumerical+3 / −1
If the function f(x)=x3+ex/2f(x) = {x^3} + {e^{x/2}}f(x)=x3+ex/2 and g(x)=f−1(x)g(x) = {f^{ - 1}}(x)g(x)=f−1(x), then the value of g′(1)g'(1)g′(1) is ‾\underline{\hspace{2cm}}​.
Numerical answer
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