How do you write #y = (x − 11)^5# as a composition of two simpler functions?

1 Answer
KillerBunny
Nov 10, 2015

#(x-11)^5 = f(g(x))#, where #f(x)=x^5#, and #g(x)=x-11#

Explanation:

I think that writing in words what the function does is #90%# of the job done.

This function takes a number #x# and:

  1. Subtract #11# from said number;
  2. Computes the fifth power of the result.

As you can see, we have actually written the two simplier functions: #f(x)=x^5# ("computes the fifth power"), and #g(x)=x-11# ("subtract eleven from #x#").

In formulas, #(x-11)^5 = f(g(x))#

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