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Question

Let f:RR be defined as f(x) = 10x + 7. The function g:RR such that gof = fog =IR. Then g(2017) =

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Solution

We have, fog = IR
fog (x)= IR(x) for all x R
f(g(x))=x10g(x)+7=xg(x)=x710g(2017)=2017710=201


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