Monday, May 28, 2012

Express the given function as a composition of 2 simple functions (x^3-x^2+2)^7.

In odrer to express the function into two dsimple fuctions, you need to to:


1. Assume that (x^3 - x^2 + 2)= f(x)


Now, assume g(x) = x^7


by replacing x with f(x) you will get g(f(x)) = [f(x)]^7


  but,  (x^3-x^2+2)^7 = [f(x)]^7 )= g(f(x)so we can compose the function as follow:


g(f(x)) = (x^3-x^2+2)^7, while f(x)= 9x^3-x^2+2)^7

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