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Check the following functions for one-on...

Check the following functions for one-one and onto
(a) `f:R rarr R, f(x)=(2x-3)/(7)`
(b) `f:R rarr R, f(x)=|x+1|`
(c) `f:R-{2} rarr R, f(x)=(3x-1)/(x-2)`
(d) `f:R-{-1,1}, f(x)=sin^(2)x`.

Text Solution

Verified by Experts

The correct Answer is:
(a) Bijective (one-one, onto)
(b) Neither one-one nor onto
(c) One-one but not onto
(d) Neither one-one nor onto
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Knowledge Check

  • The function f:R rarr R, f(x)=x^(2) is

    A
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    B
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    C
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    D
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    B
    `(x-3)/(x+1)`
    C
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    D
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