Posted by mary on Monday, October 25, 2010 at 1:18pm.
Given two functions as:
f(x) = x2x1 and g(x) = 3/x
Find fog(x) also find the domain of f, g and fog

calculus  Reiny, Monday, October 25, 2010 at 3:09pm
domain of f : any real number
domain of g : any real number except x ≠ 0
fog
= f(g(x))
= f(3/x)
 (3/x)^2  3/x  1
clearly the domain of fog is any real number, except x≠0

calculus  Reiny, Monday, October 25, 2010 at 3:10pm
last line in calculation should say
= (3/x)^2  3/x  1
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