SOLUTION: Calculus Question <img src="https://drive.google.com/uc?id=1sweAAsVeNfQTCUfspOlK_1XwchvjvvfQ">

Algebra ->  Equations -> SOLUTION: Calculus Question <img src="https://drive.google.com/uc?id=1sweAAsVeNfQTCUfspOlK_1XwchvjvvfQ">       Log On


   

Question 1141921: Calculus Question
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Look at how G is formed for a few seconds and maybe you will see what functions could go into its composition.

You see these as possible?
system%281%2Fx%2C+3x%2B4%2C+x-2%29

Possible functions could be these:
system%28f%28x%29=x-2%2Cg%28x%29=1%2Fx%2Ch%28x%29=3x%2B4%29


Try to see if this works.
g%28h%28x%29%29=1%2F%283x%2B4%29
f%28g%28h%28x%29%29%29=1%2F%283x%2B4%29-2
Seems to be G.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
One of possible solutions is this


    h(x) = 3x + 4


    g(x) = 1%2Fx


    f(x) = x - 2.


Many other solutions are possible -- this one is not unique -- but this one is the solution -- since it works.