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Math Help - Function Composition

  1. #1
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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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    is up to his old tricks again! Jhevon's Avatar
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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. #3
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    So <br />
f(g(x)) = \sqrt{1 - \sqrt{x-1}} = ?
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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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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