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Let f: RvecR be a function given by f(x)...

Let `f: RvecR` be a function given by `f(x)=a x+b` for all `x in R` . Find the constants `aa n db` such that `fof=I_Rdot`

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`f(x)=ax+b`
So,
`f(f(x))=a(ax+b)+b=x`
`=>(a^2-1)x+ab+b=0`
So,
`a^2-1=0` and `ab+b=0`
`a^2=1` and `b(a+1)=0`
...
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