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For x in RR - {0, 1}, let f1(x) =1/x, f2...

For `x in RR - {0, 1},` let `f_1(x) =1/x, f_2(x) = 1-x and f_3(x) = 1/(1-x)` be three given functions. If a function, `J(x)` satisfies `(f_2oJ_of_1)(x) = f_3(x)` then `J(x)` is equal to :

A

`f_3(x)`

B

`f_1(x)`

C

`f_2(x)`

D

`1/x f_3(x)`

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The correct Answer is:
A
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Knowledge Check

  • For x in R-{0,1}, " let " f_(1)(x)=(1)/(x), f_(2)(x)=1-x and f_(3)(x)=(1)/(1-x) be three given functions. If a function, J(x) satisfies (f_(2) @J@f_(1))(x)=f_(3)(x), " then " J(x) is equal to

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