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Question

If the function f:[1,)[1,) is defined by f(x)=2x(x1), then  f1(x) is


Your Answer
A
(12)x(x1)
Correct Answer
B
12(1+1+4 log2 x)
Your Answer
C
(12)(11+4log2 x)
Your Answer
D
None of these

Solution

The correct option is B 12(1+1+4 log2 x)
f(x)=y2x(x1)=yx(x1) log2 2=log2y
x(x1)=log2 yx2xlog2 y=0
x=1±1+4 log2 y2
x=1+1+4 log2 y2
f1(x)=12(1+1+4 log2 x)
The correct answer is (b).

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