SOLUTION: Find: a.) F o G b.) G o F c.) F o F d.) G o G also find the domain of each composite function 1.) F(x) = 1/x+3 g(x) -2/x 2.) F(x) = Square root of x-2 g(x) = 1-2x

Question 434012: Find:
a.) F o G
b.) G o F
c.) F o F
d.) G o G
also find the domain of each composite function
1.) F(x) = 1/x+3
g(x) -2/x
2.) F(x) = Square root of x-2
g(x) = 1-2x
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find:
a.) F o G = F[-2/x] = 1/[(-2/x)+3] = 1/[(-2+3x)x] = x/(-2+3x)
Domain: All Real numbers except x = 0 and x=2/3
----------------------------------------------------
b.) G o F = G[1/(x+3)] = -2/[1/(x+3)] = -2(x+3)
Domain: All Real numbers except x = -3
------------------------------------------------
c.) F o F = F[1/(x+3)] = 1/[1/(x+3)] = (x+3)
Domain: All Real numbers except x = -3
=============================================
d.) G o G = G[-2/x] = -2/[-2/x] = x
Domain: All Real numbers except x = 0
==========================================
Cheers,
Stan H.
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also find the domain of each composite function
1.) F(x) = 1/x+3
g(x) -2/x
2.) F(x) = Square root of x-2
g(x) = 1-2x

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