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Question

If f(x) = x + x + tan x, and f is inverse of g, then g'(x) equal to

A
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C
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Solution

The correct option is C
f(x)=x+tan xf(f1(y))=f1(y)+tan(f1(y))y=g(y)+tan(g(y))x=g(x)+tan(g(x))differentiate w.r.t x1=g(x)+sec2(g(x)).g(x)g(x)=12+[g(x)x]2

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