a) What is the domain of f?
b) Compute (gof)(2). For any x, determine (gof)(x)
c) Find the domain of gof
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.
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.