SOLUTION: Given f(x)=x/(x-1) , g(x)=(2x-4)/x find the following a) (f•g)(0) b) (g•f)(-2) c) (g•g)(-3)

Algebra ->  Functions -> SOLUTION: Given f(x)=x/(x-1) , g(x)=(2x-4)/x find the following a) (f•g)(0) b) (g•f)(-2) c) (g•g)(-3)       Log On


   

Question 1057082: Given f(x)=x/(x-1) , g(x)=(2x-4)/x find the following
a) (f•g)(0)
b) (g•f)(-2)
c) (g•g)(-3)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given f(x)=x/(x-1) , g(x)=(2x-4)/x find the following
a) (f•g)(0) = [x/(x-1) * (2x-4)/x)]0 = [(2x-4)/(x-1)]0 = (-4/-1) = 4
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b) (g•f)(-2) = [(2x-4)/(x-1)](-2) = [(-4-4)/(-2-1)] = -8/-3 = 8/3
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c) (g•g)(-3) = [(2x-4)/x * (2x-4)/x](-3) = [(-10/(-3)*(-10/-3)] = 100/9
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Cheers,
Stan H.
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