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Question

If g is inverse of f(x)=x3+x+cosx, then find the value of g(1).

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Solution

If g is inverse of f(x) the
g(f(x))=1
g1(f(x))=1f1(x)
when x=0f(x)=1
g1(1)=1f1(0)f1(10)=302+1+sinθ
=1 =1

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