Question

if f(g(x))=x and f(x)= 3x-4, find g(x)

Answer 1

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)

Answer 2

Notice that

\[f(g(x))=x=f(f^{-1}(x))\]

thus

\[g(x) = f^{-1}(x)\]

Answer 3

@stevench got it ?

Answer 4

i got it, but dont know how to re arrange it to where it fits in the options im given

Answer 5

What did you get ? and What are your options ?

Answer 6

a) x-4/3
b) x+4/3
c) (x/3) +4
d) (x/3) -4

Answer 7

What answer did you get ? @stevench

Answer 8

@stevench Reply ?

Answer 9

What answer did you get ?

Answer 10

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

Answer 11

You dont know how to solve

3y-4=x

Answer 12

Just rearrange to find y

Answer 13

@ikhwanz Please read the CoC- http://openstudy.com/code-of-conduct

Answer 14

Before you answer.

Answer 15

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

Answer 16

@stevench You should also look at the CoC.

Answer 17

Thank you @ikhwanz for helping me find the answer

Answer 18

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)

Answer 19

well at the moment in everything that i am trying to do I can't just simply wait all day

Answer 20

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 ...