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Question

If fx=xx-1,x≠1, then fofo...of19timesx is equal to


A

xx-1

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B

xx-119

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C

19xx-1

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D

x

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Solution

The correct option is A

xx-1


Explanation for the correct option:

Step 1: Find fofx

Given that,

fx=xx-1,x≠1

Now,

fofx=ffx=fxx-1=xx-1xx-1-1=xx-1x-x+1x-1=x

Step 2: Find fffx:

fffx=fxfrom1=xx-1

Step 3: Find the value of fofo...of19timesx:

fofo...of19timesx=fxfrom1=xx-1

Hence, the correct option is A.


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