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Math Help - Urgent Test Help

  1. #1
    rifka53
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    Question Urgent Test Help

    so there are two problems on my pre-calc test that carries over into tomorrow. One of them:

    If the function f(f(x)) = X represents every x for the domain, what will it's symmetry be? It's function?

    It's a ridiculously vague question and I don't even know where to begin.

    The second one:
    If the domain and range of a function are (a, b) and (c,d) and a < b and c < d,

    what is the domain and range of the function f(x) = k (-1/3x) - 1

    Any ideas???
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  2. #2
    Senior Member
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    If f(f(x)) = x then you can say that if y = f(x) then x = f(y). So if the point (x,y) is on the graph of the function, then so is the point (y,x). The graph has x <-> y as a symmetry.

    For the second, you're bieng asked what the inverse of the transformation x -> (-1/3x) does to the interval (a,b) and what the transformation y -> y-1 does to the interval (c,d).
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