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Math Help - Functions

  1. #1
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    Functions

    1. H function given by H(t)= -1
    Find
    a) H(0); b) H(x+h), c) H(3t); d) H(t+2) - H(t)

    2. Given the functions f(x)=3/x^2 - 4 and g(x)=x-2
    Find
    a) f(x) -g(x) b) f(x)g(x) c) f(x)/g(x)

    Thanks a lots.
    Last edited by mr fantastic; March 5th 2011 at 04:18 PM. Reason: Title.
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  2. #2
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    Quote Originally Posted by Trigon View Post
    1. H function given by H(t)= -1
    Find
    a) H(0); b) H(x+h), c) H(3t); d) H(t+2) - H(t)

    2. Given the functions f(x)=3/x^2 - 4 and g(x)=x-2
    Find
    a) f(x) -g(x) b) f(x)g(x) c) f(x)/g(x)

    Thanks a lots.
    What have you tried? Where are you stuck?
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  3. #3
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    Quote Originally Posted by mr fantastic View Post
    What have you tried? Where are you stuck?
    Q 1. I have no idea at all. I am guessing H(0)= -1 but why I do not know?

    Q 2. I tried a/b-c/d= ad-bc/ad etc but nothing more.
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  4. #4
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    Quote Originally Posted by Trigon View Post
    Q 1. I have no idea at all. I am guessing H(0)= -1 but why I do not know?

    Q 2. I tried a/b-c/d= ad-bc/ad etc but nothing more.
    Q1. H(t) is a constant function. It's equal to -1 for all values of t.

    Q2. Substitute the given rules for f(x) and g(x) into each expression. Simplify where appropriate.
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