Mathematics
18 Online
OpenStudy (anonymous):
f(2x+4)=6x+13
Find f(5-3x)+(5x-1)
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
Let 2x+4=y
Then x=(y-4)/2
Hence f(2x+4)=6x+13
gives f(y)=6(y-4)/2+13=3(y-4)+13 =3y-12+13=3y+1
OpenStudy (anonymous):
So f(x)=3x+1
Hence f(5-3x)=3(5-3x)+1=15-9x+1=16-9x
Therefore f(5-3x)+(5x-1)=16-9x+5x-1=15-4x.@Gwin
OpenStudy (anonymous):
Can you please explain in words?
OpenStudy (anonymous):
See we are not given f(x) right??.@Gwin
OpenStudy (anonymous):
Oui
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
???
OpenStudy (anonymous):
first we need to find f(x)
OpenStudy (anonymous):
Okay
OpenStudy (anonymous):
OpenStudy (anonymous):
read the attachment and tell me what you figured out
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
You let y equal what is in the parenthesis and then plug it in to what you want to find, correct?
OpenStudy (anonymous):
yeah, we want f(y) = something
Then by interchanging y by x we have f(x)
OpenStudy (anonymous):
next??
OpenStudy (anonymous):
@Gwin
OpenStudy (anonymous):
Then solve for x and plug it into f(5-3x)+f(5x-1)
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
@Princer_Jones
OpenStudy (anonymous):
Hi.@Gwin
OpenStudy (anonymous):
OH it was f(5-3x)+f(5x-1)?? see you typed wrong the question you posted... Yeah thats it.
OpenStudy (anonymous):
I seriously typed it wrong? @Princer_Jones
OpenStudy (anonymous):
In your question it was
Find f(5-3x)+(5x-1)
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
@Gwin
OpenStudy (anonymous):
Oh super.
OpenStudy (anonymous):
@Princer_Jones
OpenStudy (anonymous):
So you understood how to solve this kind of problems?.@Gwin
OpenStudy (anonymous):
Sure @Princer_Jones
(I use this during Math Team Class, so that's like one out of eighty problems that are hard, confusing, or both.)