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Question

Let f:[4,)[4,) be a function defined by f(x)=5x(x4), then f1(x) is

A
24+log5x
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B
2+4+log5x
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C
(15)x(x4)
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D
None of these
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Solution

The correct option is C 2+4+log5x
Let y=5x(x4)x(x4)=log5yx24xlog5y=0
x=4±16+4log5y2=(2±4+log5y)
But x4, so x=(2+4+log5y)
f1(y)=2+4+log5y

f1(x)=2+4+log5x

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