I
iTeachChem•4mo ago
flower

Composite Functions

Help composite functions is messing me up
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No description
20 Replies
iTeachChem Helper
iTeachChem Helper•4mo ago
@Apu
iTeachChem Helper
iTeachChem Helper•4mo ago
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.
SirLancelotDuLac
SirLancelotDuLac•4mo ago
For the first one, write it as f(|x|)+|f(x)|. And then caseworking or graphical approach would give you the graph of h(x).
flower
flowerOP•4mo ago
yahi to nahi hota na ji please explain kaise karrte hai ye 2-3 hafte se nahi kara to bhul gaya hu ab
SirLancelotDuLac
SirLancelotDuLac•4mo ago
Wait Imma try and find a pen and paper
flower
flowerOP•4mo ago
thenkuu
SirLancelotDuLac
SirLancelotDuLac•4mo ago
My apologies for the poor quality of graphs, but it would be something like this 😭
flower
flowerOP•4mo ago
oooooooooooo ok so how do define the functions tho thats also something i forget at times like the process of defining it fog and gof
SirLancelotDuLac
SirLancelotDuLac•4mo ago
fog (sounds like f o' (of) g) is f of g which is f(g(x))
flower
flowerOP•4mo ago
how wll we define gof here
Opt
Opt•4mo ago
Hello.
flower
flowerOP•4mo ago
yoyo hepl
SirLancelotDuLac
SirLancelotDuLac•4mo ago
In this case, g(x) is modulus function
Opt
Opt•4mo ago
g(f(x)) = |f(x)| Wherever there's an x, replace it with a f(x) Then sub in your f(x) with the necessary boundary conditions
SirLancelotDuLac
SirLancelotDuLac•4mo ago
Sorry for the delay, but the questions and graphs would look something like this.
No description
SirLancelotDuLac
SirLancelotDuLac•4mo ago
Or you could have also defined the fog and gof over various intervals and then added them to get the result.
iTeachChem
iTeachChem•4mo ago
you good?
flower
flowerOP•4mo ago
ooooo yea im done wth this i forgor about this hehe +solved @SirLancelotDuLac
iTeachChem Helper
iTeachChem Helper•4mo ago
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