1.

Let `f(x)=(ax + b )/(cx+d)`. Then the `fof (x)=x`, provided that : `(a!=0, b!= 0, c!=0,d!=0)`A. d=-aB. d=aC. a=b=c=d=1D. a=b=1

Answer» Correct Answer - D
Given, `f(x)=(ax+b)/(cx+b)`
`and fof(x)=x`
`Rightarrow f((ax+b)/(cx+b))=x`
`Rightarrow (a((ax+b)/(cx+b))+b)/(c((ax+b)/(cx+b))+d)=x`
`Rightarrow (x(a^(2)+bc)+ab+bd)/(x(ac+cd)+bc+d^(2))=x`
`Rightarrow d=-a`


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