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Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

f(x) = 4/x
g(x) = 4/x

User Bruce Chapman
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1 Answer

22 votes
22 votes

Answer:

Hello,

Explanation:


f(x)=(4)/(x) \\\\g(x)=(4)/(x) \\\\\\(gof)(x)=f(g(x))=f((4)/(x) )=(4)/((4)/(x) ) =(4*x)/(4) =x\\\\\\(fog)(x)=g(f(x))=g((4)/(x) )=(4)/((4)/(x) ) =(4*x)/(4) =x\\

User Markhogue
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