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Thread: Function Composition

  1. February 12th 2008, 12:24 PM #1
    Mortifix
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    Function Composition

    I am stuck on this problem. Let f(x)=sqrt(1-x) and g(x)=sqrt(x-1). Determine (fog)(x). Thanks for the help
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  2. February 12th 2008, 12:32 PM #2
    Jhevon
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    Quote Originally Posted by Mortifix View Post
    I am stuck on this problem. Let f(x)=sqrt(1-x) and g(x)=sqrt(x-1). Determine (fog)(x). Thanks for the help
    (f \circ g)(x) means f(g(x)). that is, you plug in the function g for x in the function f.

    so, f(g(x)) = \sqrt{1 - (g(x))} = \cdots ?
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  3. February 12th 2008, 12:42 PM #3
    Mortifix
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    So <br /> f(g(x)) = \sqrt{1 - \sqrt{x-1}} = ?
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  4. February 12th 2008, 12:51 PM #4
    Jhevon
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    Quote Originally Posted by Mortifix View Post
    So <br /> f(g(x)) = \sqrt{1 - \sqrt{x-1}} = ?
    yes
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