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Math Help - composing functions

  1. #1
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    composing functions

    1) Find the functions f and g so that gof.
    h(x)= 1/(sqrt(x^2)-4)
    Last edited by lemontea; May 12th 2008 at 04:28 PM.
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  2. #2
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    Hello,

    Quote Originally Posted by lemontea View Post
    1) Find the functions f and g so that gof.
    h(x)= 1/(sqrt(x^2)-4)
    What about f(x)=sqrt(x^2)-4
    And g(t)=1/t

    ?
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  3. #3
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    Quote Originally Posted by lemontea View Post
    1) Find the functions f and g so that gof.
    h(x)= 1/(sqrt(x^2)-4)

    ...
    I'll show you a few possibilities: h(x)=g(f(x))

    \begin{array}{lcr}g(x)=\frac1x & \text{and} & f(x)=\sqrt{x^2}-4 \\<br />
g(x)=\frac1{\sqrt{x}-4} & \text{and} & f(x)=x^2 \\<br />
g(x)=\frac1{x-4} & \text{and} & f(x)=\sqrt{x^2} \end{array}
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