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Question

Mathematics Question on Relations and functions

If g(x) = √x+1 & f(g(x)) = 3-√x+1 then f(0) = ?

Answer

The correct answer is 3.

For f(0)f(0) put x=-1 in f(g(x))

\therefore f(g(1))=3+1+1f(g(-1))=3+\sqrt{-1+1}

f(0)=3\Rightarrow f(0)=3