anonymous
  • anonymous
if f(g(x))=x and f(x)= 3x-4, find g(x)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
hba
  • hba
to find the inverse function, let y=g(x) f(y)=x 3y-4= x rearrange to find y and voila ! you get g(x)
hba
  • hba
Notice that \[f(g(x))=x=f(f^{-1}(x))\] thus \[g(x) = f^{-1}(x)\]
hba
  • hba
@stevench got it ?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
i got it, but dont know how to re arrange it to where it fits in the options im given
hba
  • hba
What did you get ? and What are your options ?
anonymous
  • anonymous
a) x-4/3 b) x+4/3 c) (x/3) +4 d) (x/3) -4
hba
  • hba
What answer did you get ? @stevench
hba
  • hba
@stevench Reply ?
hba
  • hba
What answer did you get ?
anonymous
  • anonymous
I'm trying to do a billion things at once becaus I'm way overdue in an online class and just need help gettin answers
hba
  • hba
You dont know how to solve 3y-4=x
hba
  • hba
Just rearrange to find y
hba
  • hba
@ikhwanz Please read the CoC-http://openstudy.com/code-of-conduct
hba
  • hba
Before you answer.
anonymous
  • anonymous
easily you arrange it \[(f^-1(f(g(x))\] put the value of f(g(x)) inside f^-1 f-1=(x+4)/3_________ which from f(x)=3x-4 so change y=3x-4 then get the x value y+4/3 change f(y) to f-1=(x+4)/3 subtitute value fg(x) inside f-1
hba
  • hba
@stevench You should also look at the CoC.
anonymous
  • anonymous
Thank you @ikhwanz for helping me find the answer
amistre64
  • amistre64
As a rule of thumb, we would prefer the askers to participate in the solution process instead of having the answerers doing all the work. if f(g(x))=x and f(x)= 3x-4, find g(x) f(x)= 3x-4; replace x with a g(x) to get f(g(x))= 3[g(x)] - 4 ; and since f(g(x))=x x = 3[g(x)] - 4 , use basic algebra techniques to find g(x)
anonymous
  • anonymous
well at the moment in everything that i am trying to do I can't just simply wait all day
amistre64
  • amistre64
thats not really our concern; we are aimed at being a study site, not a free answering service. We would rather promote learning the material as opposed to just handing over answers. This social contract is aimed at curbing people from using the site to cheat with ...

Looking for something else?

Not the answer you are looking for? Search for more explanations.