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Math Help - Need help with Precal Review Questions (Test this week)

  1. #1
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    Need help with Precal Review Questions (Test this week)

    Hey guys, I have a Calculus test this week that covers some Precal materials and I am not quite sure whether the answers I got on a couple of my review problems are correct.

    T/F

    1. If f(s) = f(t), then s = t.
    2. If X1 < X2 and f is a decreasing function, then f(X1) > f(X2).
    3. If f and g are functions, then f o g = g o f.
    4.You can always divide by e^x.
    5. If x>0, then (ln x)^6 = 6 ln x.
    6. The parametric equations x = t^2, y = t^4 have the same graphs as x = t^3, y = t^6.


    7. Express the function F(x) = 1/sqrt{x + sqrt{x} } as a composition of three functions.


    Any feedback or help would be greatly appreciated.
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  2. #2
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    Quote Originally Posted by Gitano View Post
    6. The parametric equations x = t^2, y = t^4 have the same graphs as x = t^3, y = t^6.
    well

    x = t^2

    y = t^4

    y = (t^2)^2

    y = x^2

    and

    x = t^3

    y = t^6

    y = (t^3)^2

    y = x^2


    So this is true but do you have some reasons you can post here about the others? Is there any value knowing if a handful of questions are true or false?

    Wouldn't it be better to know the ideas and methodology behind such questions?
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  3. #3
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    ^^^

    I hear what you are saying, I guess it is just because I have a test in a couple of days and just wanted a second opinion on if my answers were correct, to make sure I have the right understanding.

    Thanks anyways.
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  4. #4
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    Quote Originally Posted by Gitano View Post
    and just wanted a second opinion on if my answers were correct,
    You didn't post any answer, only questions. I'm happy to look at your answers.
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