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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Hello, Originally Posted by lemontea 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 ?
Originally Posted by lemontea 1) Find the functions f and g so that gof. h(x)= 1/(sqrt(x^2)-4) ... I'll show you a few possibilities: $\displaystyle h(x)=g(f(x))$ $\displaystyle \begin{array}{lcr}g(x)=\frac1x & \text{and} & f(x)=\sqrt{x^2}-4 \\ g(x)=\frac1{\sqrt{x}-4} & \text{and} & f(x)=x^2 \\ g(x)=\frac1{x-4} & \text{and} & f(x)=\sqrt{x^2} \end{array}$
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