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Math Help - inverse, converse, and contrapositive?

  1. #1
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    inverse, converse, and contrapositive?

    Hey guys got a question:

    I have  f(x) = x^2 and  f(x) = 9

    The problem is asking for the converse, inverse and contrapositive statments of those 2 functions. I am not familiar with this, can someone guide me as to what these mean?
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  2. #2
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    As far as I know a function doesn't have an inverse, converse or contrapositive (well maybe an inverse, but I don't think that's the definition you mean). You generally find the inverse, converse and contrapositive of a conditional statement. Either tell us the statement, or give the definitions of these expressions for functions.
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  3. #3
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    Hello, Jeonsah!

    I agree with DrSteve . . .


    \text{I have: }\:f(x) = x^2\,\text{and }\,f(x) = 9

    \text{The problem is asking for the converse, inverse and contrapositive}
    \text{statments of those 2 functions.} . . This makes no sense.

    The converse, inverse and contrapositive are variations of an implication.



    If the original statement were: . \text{If }f(x) = x^2,\text{ then }f(x) = 9

    . . then we have:

    . . . . \begin{array}{ccccc}<br />
\text{Converse:} & \text{If }f(x) = 9,\text{ then }f(x) = x^2. \\ \\[-3mm]<br />
\text{Inverse:} & \text{If }f(x) \ne x^2,\text{ then }f(x) \ne 9. \\ \\[-3mm]<br />
\text{C'positive:} & \text{If }f(x) \ne 9,\text{ then }f(x) \ne x^2. \end{array}

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