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Question

If f:[2,)[1,) is defined by f(x)=2x44x2, then f1(x) is

A
2+4+log2x
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B
2+4+log2x
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C
loge(x44x2)
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D
log2(x44x2)
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Solution

The correct option is A 2+4+log2x
y=f(x)=2x44x2
log2y=x44x2
(x2)24(x2)log2y=0
x2=4±16+4log2y2
x2=2+4+log2y (x2 and y1)
x=2+4+log2y
f1(y)=2+4+log2y

Hence, f1(x)=2+4+log2x

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