Thursday, March 7, 2013

How do we do composition

to find that what is composition we first need to know the formula.
(f*g)(x)=f(g(x))
now that we know the formula it will be easy to answer the following question.
1.) given f(x) = 4x+6  and (g)x = (x^2+4)
  • we will start by writing 4x+6 but replace the x with x^2+4 like so 4(x^2+4)+6 
  • disstribute the 4 in the beginning within the parentheses.
  • we will get 4x^2+16+6 , then 16+6=22
  • the answer will be 4x^2+22
2.) now try on your own  given f(x) = 2x+9 and (g)x = (x^2+7)

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