PLEASE HELP 100 POINTS Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x f(x)=2/x and g(x)=2/x

asked Oct 17, 2021 230k views

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PLEASE HELP 100 POINTS

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

f(x)=2/x and g(x)=2/x

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4 votes

Answer:

see below

Explanation:

$f(x)=2/x\\\\g(x)=2/x\\\\f(g(x))=f(2/x)\\\\f(2/x)=2/(2/x)\\\\f(g(x))=2x/2\\\\f(g(x))=x\\\\$

and since f(x)=g(x) the same process applies to g(f(x))

Taymour answered Oct 24, 2021

7.1k points

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