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If f:RrarrR defined by f(x)=(4x+3), show...

If `f:RrarrR` defined by `f(x)=(4x+3)`, show that f is invertible and find`f^(-1`.

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f : R to R be defined as f(x) = 4x + 5 AA x in R show that f is invertible and find f^(-1) .

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Knowledge Check

  • 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

  • If f:RtoR is defined by f(x)=x^(3) then f^(-1)(8)=

    A
    `{2,-2}`
    B
    `{2,2}`
    C
    `{2}`
    D
    `{2,omega,2omega^(2)}`

  • 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

    • Similar Questions

    Explore conceptually related problems

    Prove that the funciton f: R to R defined by f(x)=4x+3 is invertible and find the inverse of f.

    If f:RtoR, defined by F(x)=1+x^2 , then show that f is neither 1 - 1 nor onto.

    Prove that the function f: R to R defined by f(x) = 4x + 3 is invertible and find the inverse of 'f' .

    If f : R to R defined by f(x) = 1+x^(2), then show that f is neither 1-1 nor onto.

    Consider f:Rto[-5oo] given by f(x)9x^2+6x-5 , show that f is invertible with f^(-1)(y)={(sqrt(y+6))/3)}

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