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Math Help - Graph f(x)=.........

  1. #1
    Raj
    Raj is offline
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    Graph f(x)=.........

    Sketch the graph of f(x)=\frac{x+4}{x-5}. Sketch the graph of g(x)=3x-8 on the same graph as f(x). Determine where f(x)\geq g(x).

    I have the two graphed out, just need help with determining where f(x) is greater or equal to g(x). Thanks.
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  2. #2
    Bar0n janvdl's Avatar
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    Quote Originally Posted by Raj View Post
    Sketch the graph of f(x)=\frac{x+4}{x-5}. Sketch the graph of g(x)=3x-8 on the same graph as f(x). Determine where f(x)\geq g(x).

    I have the two graphed out, just need help with determining where f(x) is greater or equal to g(x). Thanks.
    Simply look where f(x)'s graph has a greater y-value then g(x)
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  3. #3
    Bar0n janvdl's Avatar
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    It seems to me that f(x) > g(x) where x < 6
    Attached Thumbnails Attached Thumbnails Graph f(x)=.........-graph.jpg  
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  4. #4
    Forum Admin topsquark's Avatar
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    Just as a note, I've typically found it to be a bit easier to see where f(x) - g(x) \geq 0. Mathematically they are the same, but it just seems to work better for me.

    -Dan
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