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Hello

yeah

But crucially they can also be composed

what do you mean

For part (a) you need to add the two funtions a(x) + b(x)

|dw:1444149834166:dw|

group like terms and simplify

for part a, it says to add (a+b)(x)

This is the simplest example:
a(x) + b(x) = (3x+10) + (2x-8) = 5x +2

I got that part but what about the x that needs to be multiplied to that solution of 5x + 2

|dw:1444149917064:dw|

When dealing with functional notation the (x) is meant to refer to the argument of the function

triciall, for part a what about the x that needs to be multiplied

so I can ignore the x for part a?

Yes

Now what do you think part (b) should be?

Take a guess

|dw:1444150022131:dw|

part c is a bit confusing

use b(x) as your x to find a(x)

Which is called a composition

it is not confusing if you actually read the response

|dw:1444150296553:dw|

Then I have to do a(2)=3(2)+10=6+10=16

Does this make sense?

3x+10 2x-8
So if y=b(x)=2x-8,
Then a(y)=3y+10=3(2x-8)+10=6x-24+10=6x-14=a(b(x))

Please let me know if this makes sense or if you are confused

@ChanelAnderson203 Do you understand? Would you like another example?

I'm still confused on C and sorry I was afk for a bit

how are you confused on c

so can you help?

yeah let me go get my book

ok

back

kk

|dw:1444152446510:dw|

ok so far so good

|dw:1444152528819:dw|

3 (2x-8)+10

6x-14??

and then group like terms to simplify

so is 6x-14 the answer for part c?

|dw:1444152612850:dw|

yes

so the full answer would be a{b(c)}=6x-14

not c x yes

oh sorry ok thanks so much guys

who does the best response go to? :/ idk who xd

do triciaal

thanks so much for your help guys :))

you are welcome

no problem have a good day

same goes for you @StudyWithMe!

thanks all the best to both of you

see you some other time! :)