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Chapter 5: Q 60. (page 257)

If f(x)=x+1x-1find (fof)(x).

Short Answer

Expert verified

The value of(fof)(x)=x.

Step by step solution

01

Step 1. Given information

f(x)=x+1x-1and the function(fof)(x)=f(f(x))

02

Step 2. The given function written as.

f(f(x))=x+1x-1+1x+1x-1-1

03

Step 3. Simplify the given function.

f(f(x))=x+1x-1+1x+1x-1-1f(f(x))=x+1+x-1x-1x+1-x+1x-1f(f(x))=2xx-12x-1f(f(x))=x

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