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If : RR to RR is defined by f(x) = 3x-5,...

If : `RR to RR` is defined by f(x) = 3x-5, prove that f is a bijection and find its inverse.

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Explore conceptually related problems

If f:R to R is defined by f(x) = 3x - 5 , prove that f is a bijection and find its inverse .

If f:RR to RR is defined by f(x)=3x-5 , prove that f is a bijection and find its inverse.

Knowledge Check

  • Let f: RR to RR be defined by f(x)=1 -|x|. Then the range of f is

    A
    `RR`
    B
    `(1,oo)`
    C
    `(-1,oo)`
    D
    `(-oo,1)`

  • The function f : RR to RR is defined by f(x) = sin x + cos x is

    A
    an odd function
    B
    neither an odd function nor an even function
    C
    an even function
    D
    both odd function and even function.

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    If f:R rarr R is defined by f(x)=2x-3 prove that f is a bijection and find its inverse.

    Let f:R to R be defined by f(x) =e^(x)-e^(-x). Prove that f(x) is invertible. Also find the inverse function.

    If f : R to R is defined by f (x) = |x| -5, then the range of f is ……………

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