SOLUTION: If f(x)= 1/(2x) and g(x) = 3+x find (and simplify) the defining equation of the composition function f\circle g.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: If f(x)= 1/(2x) and g(x) = 3+x find (and simplify) the defining equation of the composition function f\circle g.      Log On


   

Question 123127: If f(x)= 1/(2x) and g(x) = 3+x find (and simplify) the defining equation of the composition function f\circle g.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
f%28x%29+=+1%2F2x and g%28x%29+=+3%2Bx, find:
%28f%5Bo%5Dg%29%28x%29 this can also be written:
f%28g%28x%29%29
f%28g%28x%29%29+=+f%283%2Bx%29
f%283%2Bx%29+=+1%2F2%283%2Bx%29
f%283%2Bx%29+=+1%2F%286%2B2x%29, so...
%28f%5Bo%5Dg%29%28x%29+=+1%2F%286%2B2x%29