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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

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
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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

asked
User Manish Nahar
by
7.6k points

1 Answer

6 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\\

answered
User Vihaan Verma
by
8.0k points
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