# Answer to Question #21253 in Trigonometry for Kristen Woods

Question #21253

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

H(x)=| 1/x -5 | let t=1/x then

H(x)=| t-5 |=f( t ) but t=1/x=g(x)

so we have H(x)=f(g(x))

H(x)=| t-5 |=f( t ) but t=1/x=g(x)

so we have H(x)=f(g(x))

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