1.

For x ∈ R-{0, 1}. Let \({{\text{f}}_{1}}\left( \text{x} \right)=\frac{1}{\text{x}},\text{ }\!\!~\!\!\text{ }{{\text{f}}_{2}}\left( \text{x} \right)=1-\text{x }\!\!~\!\!\text{ and }\!\!~\!\!\text{ }{{\text{f}}_{3}}\left( \text{x} \right)=\frac{1}{1-\text{x}}\) be three given functions. If a function, J(x) satisfies (f2∘J∘f1)(x) = f3(x) then J(x) is equal to:

A. f3 (x)
B. \(\frac{1}{\text{x}}{{\text{f}}_{3}}\left( \text{x} \right)\)
C. f2 (x)
D. f1 (x)
Answer» B. \(\frac{1}{\text{x}}{{\text{f}}_{3}}\left( \text{x} \right)\)


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