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kymber
 3 years ago
How to do composition of functions?
kymber
 3 years ago
How to do composition of functions?

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amorfide
 3 years ago
Best ResponseYou've already chosen the best response.1could you give a question as an example

amorfide
 3 years ago
Best ResponseYou've already chosen the best response.1okay so you have f(x)=2x1 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)=2x1 so you are doing g(f) which is equal to g(2x1) so your g function is g(x)=x+2 instead of x you will replace all x's with 2x1 so g(2x1)=2x1+2 g(2x1)=2x+1

kymber
 3 years ago
Best ResponseYou've already chosen the best response.3So composition is just multiplying??

amorfide
 3 years ago
Best ResponseYou've already chosen the best response.1no you had gf that is a function of f but you know that f is 2x1 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 2x1 you subbed that into the function for g

kymber
 3 years ago
Best ResponseYou've already chosen the best response.3So composition is putting f into g?

kymber
 3 years ago
Best ResponseYou've already chosen the best response.3Oh.. okay. Thanks \(\huge\ddot\smile\)

amorfide
 3 years ago
Best ResponseYou've already chosen the best response.1if it makes it easier to understand try this you have gf you could re write it to be gf(x) you know f(x)=2x1 so you can rewrite it to be g(2x1) sub it into the g function
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