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Let f(x)=(ax+b)/(cx+d). Then the fof (x...

Let `f(x)=(ax+b)/(cx+d)`. Then the fof (x) =x provided that

A

d=-a

B

d=a

C

a=b=1

D

a=b=c=d=1

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A
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Knowledge Check

  • Let f(x)=(1)/(1-x)."Then (fp (fof)) (x)"

    A
    x for all ` xin R`
    B
    x for all `x in R-[1]`
    C
    x for all `x imn R-[0,1]`
    D
    None of these

  • If f (x) =(ax +b)/( cx +d) and (fof) x= x, then

    A
    a=b=1
    B
    `d=a`
    C
    `d=-a`
    D
    `a=b=c=d=1`

  • If a function f(x)=(ax+b)/(cx+d) is such that (f@f)(x)=x , then

    A
    `d=-a`
    B
    `d=a`
    C
    `a=b=1`
    D
    `a=b=c=d=1`

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