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If f:ArarrA defined by f(x)=(4x+3)/(6x-4...

If `f:ArarrA` defined by `f(x)=(4x+3)/(6x-4)` where `A=R-{2/3}`, show that f is invertible and `f^(-1)=f`.

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Knowledge Check

  • If f: R rarr R is defined by f(x)=(x)/(x^(2)+1) find f(f(2))

    A
    1)29
    B
    2)`(29)/(10)`
    C
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  • Let f:NtoY be a function defined as f(x)=4x+3 , where Y={yinN,y=4x+3 for some x inN }. Show that f is invertible and its inverse is :

    A
    `g(y)=(y-3)/(4)`
    B
    `g(y)=(3y+4)/(3)`
    C
    `g(y)=4+(y+3)/(4)`
    D
    `g(y)=(y+3)/(4)`

  • Let f : R to R be defined by f(x)=x^(4) , then

    A
    1.f is one - one and onto
    B
    2.f may be one - one and onto
    C
    3.f is one - one but not onto
    D
    4.f is neither one - one nor onto

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    If A to A where A - R - {2/3} defined by f(x) = (4x + 3)/(6x - 4) is invertible. Prove that f^(-1) = f .

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