kymber
  • kymber
How to do composition of functions?
Mathematics
katieb
  • katieb
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amorfide
  • amorfide
could you give a question as an example
kymber
  • kymber
der you go
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amorfide
  • amorfide
okay so you have f(x)=2x-1 g(x)=x+2 so you want gf this means you will do g(f) so your g function is g(x)=x+2 now g(f)=f+2 because it replaces all the x's but you know that f(x)=2x-1 so you are doing g(f) which is equal to g(2x-1) so your g function is g(x)=x+2 instead of x you will replace all x's with 2x-1 so g(2x-1)=2x-1+2 g(2x-1)=2x+1

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kymber
  • kymber
So composition is just multiplying??
amorfide
  • amorfide
no you had gf that is a function of f but you know that f is 2x-1 so you sub that into your function for g you are replacing the function on the right with its function of x then the substituting it into the function that follows the one on the right like here the function the right is f which is 2x-1 you subbed that into the function for g
kymber
  • kymber
So composition is putting f into g?
amorfide
  • amorfide
yes
kymber
  • kymber
Oh.. okay. Thanks \(\huge\ddot\smile\)
amorfide
  • amorfide
if it makes it easier to understand try this you have gf you could re write it to be gf(x) you know f(x)=2x-1 so you can rewrite it to be g(2x-1) sub it into the g function

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