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Nick88888888
 one year ago
f(x) = 10x and g(x) = 5x+6 ,
find the following:
a) f(g(x))
b) g(f(x))
c) f(f(x))
Nick88888888
 one year ago
f(x) = 10x and g(x) = 5x+6 , find the following: a) f(g(x)) b) g(f(x)) c) f(f(x))

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Nick88888888
 one year ago
Best ResponseYou've already chosen the best response.1Just giving me an example of a) Is fine too im just trying to figure out how to set it up and solve it ^^

DebbieG
 one year ago
Best ResponseYou've already chosen the best response.1f(g(x)) means to simply put the expression, g(x), into f(x) in place of all instances of the variable x. Think of it like a searchandreplace, where every x in the "outer function" (in this case, f(x)) is replaced by the inner function, in this case (5x + 6). So you get f(g(x)) = 10  (5x + 6) = 4  5x Now can you try the other 2?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2f(g(x)) just applies you put the function g(x) where ever there is an x in f(x). So, \[f(g(x)) = 10(5x+6)\] do so similarly with others.

Nick88888888
 one year ago
Best ResponseYou've already chosen the best response.1@DebbieG Ok so you got 4  5x by 10  6 and 5x being by it self? so b) would be 5(10  x) + 6 = 50x + 6 ?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Your distribution is wrong, but yet you get the point :)

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2\[g(f(x)) = 5(10x)+6 \implies 505x+6\]

DebbieG
 one year ago
Best ResponseYou've already chosen the best response.1Yes, 5(10  x) + 6, but 5(10  x) + 6 != 50x + 6 I don't really understand what you mean by, "Ok so you got 4  5x by 10  6 and 5x being by it self?"

Nick88888888
 one year ago
Best ResponseYou've already chosen the best response.1@DebbieG I was trying to see if i understood how you did it with my way of explaining how i took what you did. If that clears it up

Nick88888888
 one year ago
Best ResponseYou've already chosen the best response.1@Astrophysics Ok so would that mean f(f(x)) 10  (10  x) = 10  10x?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2\[f(f(x)) = 10  (10x)\]

Nick88888888
 one year ago
Best ResponseYou've already chosen the best response.1@Astrophysics Thank you so much ^^ That was easier then i thought lol

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Note that there is a "negative 1" there

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2dw:1434883474751:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0there is another notation for these problems a) f(g(x)) < the same as f o g b) g(f(x)) < the same as g o f c) f(f(x)) < the same as f o f Looks like more textbooks are starting to get rid of the letter circle letter notation

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Ah yes, when I was learning this, we had to do it both ways

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2I think it may have confused people, because it was written as such f o g (x)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0I had to read right to left when I had that in my textbook

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0mine was strictly the letter o letter notation

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2xD Yeah, it was tricky at first
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