For all numbers x where x ≠ 0, if f(x) is defined by f(x) = 1/x and g(

Question

For all numbers x where x ≠ 0, if f(x) is defined by  f(x) = \frac{1}{x}  and g(x) is defined by  g(x) = \frac{1}{(1 + x)} , then  f(g(2)) =

A 13
B 12
C 1
D 2
E 3

KanishkM · Answer

IMO E

g(2) = 1/3

f((g(2))) = 3

4d · Answer

g(x) =\frac{1}{x+1} 
 g(2) =\frac{1}{2+1}  =  \frac{1}{3} 
 f(g(2))=f(\frac{1}{3})=\frac{1}{\frac{1}{3}}=3

BrushMyQuant · Answer

g(x) = \frac{1}{(1 + x)}

=>  g(2) = \frac{1}{(1 + 2)}  =  \frac{1}{3}

f(x) = \frac{1}{x}

=>  f(g(2)) =  = f( \frac{1}{3} ) =  1 / (\frac{1}{3})  = 3

So,  Answer will be E 
Hope it helps!

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