mstend19 mstend19

17-09-2020
Mathematics

contestada

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

Respuesta :

CSMedrano CSMedrano

17-09-2020

Answer:

see below

Step-by-step explanation:

[tex]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\\\\[/tex]

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

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