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Question

If f(x)=xx1, then f(a)f(a+1) is equal to

A
f(a)
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B
f(1/a)
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C
f(a2)
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D
f(aa1)
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Solution

The correct option is C f(a2)
Given,

f(x)=xx1

f(a)=aa1
f(a+1)=a+1a+11
=a+1a

Then,
f(a)f(a+1)=aa1a+1a
=aa1×aa+1=a2a2

f(a2)=a2a21

Therefore option C=f(a2)


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