Sebastian030 Sebastian030

12-10-2020
Mathematics

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PLEASE HELP QUICK !!

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

f(x) = [tex]\frac{2}{x}[/tex] and g(x) = [tex]\frac{2}{x}[/tex]

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luclaporte2 luclaporte2

12-10-2020

Step-by-step explanation:

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

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

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

therefore they are inverses

since f(g(x)) = g(f(x)) = x.

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