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consider the function h(x)=1/(x-8)^5

suppose that g(x)=x-8. Find f(x) such that h(x)=(f o g)(x)

 Sep 14, 2021
 #1
avatar+115804 
+1

\(g(x)=x-8\\ (f o g) (x)=f(g(x))=f(x-8)\\ h(x)=f(x-8)=\frac{1}{(x-8)^5}\\ so\\ f(x)=\frac{1}{x^5}\)

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 Sep 15, 2021
 #2
avatar+574 
+1

thank u! cheeky

xxJenny1213xx  Sep 15, 2021
 #3
avatar+115804 
0

You are very welcome.

Melody  Sep 15, 2021

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