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Let f: N to R be defined by f(x) = 4x^(2...

Let `f: N to R` be defined by `f(x) = 4x^(2) + 12x+ 15`. Show that `f: N to S` where S is the range of function f, is invertible. Also find the inverse of f.

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Explore conceptually related problems

Let f:NrarrR be defined by f(x)=4x^(2)+12x+15 . Show that f:NrarrS where S is the range of function f, is invertible. Also find the inverse of f.

Let f : N to R be defined by f(x) = 4x^(2) + 12x + 15 , show that f: N to S , where S is the function, is invertible. Also find the inverse.

Knowledge Check

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

    A
    f is one-one but not onto
    B
    f is neither one-one nor onto
    C
    f is one-one and onto
    D
    f may be one-one and onto

  • 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

  • Let f: N rarr N be defined by f(x)=x^(2)+x+1 then f is

    A
    one-one, onto
    B
    many one onto
    C
    one-one but not onto
    D
    onto but not one-one

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