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Math Help - name the restrictions for each expression

  1. #1
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    name the restrictions for each expression

    all I can say is help lol if some one could please show me the work and answer I think I will be able to finish the rest of my problems like this thanks in advance
    #1

    x^2+5x-7
    _________

    2-x


    #2

    t^2+4t+4
    _________

    t^2-16
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by imbadatmath View Post
    all I can say is help lol if some one could please show me the work and answer I think I will be able to finish the rest of my problems like this thanks in advance
    #1

    x^2+5x-7
    _________

    2-x


    #2

    t^2+4t+4
    _________

    t^2-16
    Can the denominator of any expression be 0?

    -Dan
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  3. #3
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    Quote Originally Posted by imbadatmath View Post
    all I can say is help lol if some one could please show me the work and answer I think I will be able to finish the rest of my problems like this thanks in advance
    #1

    x^2+5x-7
    _________

    2-x


    #2

    t^2+4t+4
    _________

    t^2-16
    1.)

    \frac{x^2+5x-7}{2-x}, x \not= 2

    2.)

    \frac{t^2+4t+4}{t^2-16} = \frac{(t+2)^2}{(t+4)(t-4)}, t \not= \pm 4
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  4. #4
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    I do not htink they could be zero is the answer as simple as that zero?
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  5. #5
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    how did u get the 2 and the +or- 4
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  6. #6
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    Quote Originally Posted by imbadatmath View Post
    how did u get the 2 and the +or- 4
    As if you have t = \pm 4 then one bracket becomes zero hence when you times the other bracket, your whole denominator becomes zero which is not allowed.
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  7. #7
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    so then that means in the first one it can not be 2 because 2-2 =0 so thats is why 2 can not equal x?
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  8. #8
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by imbadatmath View Post
    so then that means in the first one it can not be 2 because 2-2 =0 so thats is why 2 can not equal x?
    Right. It's that simple.

    -Dan
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