Let f(x) = x/ cuberoot of x-1 and g(x) = x³
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Let f(x) = x/ cuberoot of x-1 and g(x) = x³

[From: ] [author: ] [Date: 12-07-09] [Hit: ]
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a) What is the domain of f?
b) Compute (gof)(2). For any x, determine (gof)(x)
c) Find the domain of gof

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Making assumptions about where parentheses should be,
f(x) = x/(x - 1)^(1/3)
a) f's domain is all real numbers except x = 1.
b) (g o f)(x) = (x/(x - 1)^(1/3))^3 = x^3/(x - 1)
(g o f)(2) = 2^3/(2 - 1) = 8
c) (g o f)'s domain is all real numbers except x = 1.
1
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