# Answer to Question #20965 in Trigonometry for Kristen Woods

Question #20965

Let f(x)=|x-5| and g(x)=(1/x)

Write the given function as a composition function

using f and g.

H(x)=|(1/x)-5|

Write the given function as a composition function

using f and g.

H(x)=|(1/x)-5|

Expert's answer

g(x)=1/x

That means, that |(1/x)-5)=|g(x)-5|

f(x)=|x-5|

That means, that f(g(x))=|(1/x)-5)

That means, that |(1/x)-5)=|g(x)-5|

f(x)=|x-5|

That means, that f(g(x))=|(1/x)-5)

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