1. ## composing functions

1) Find the functions f and g so that gof.
h(x)= 1/(sqrt(x^2)-4)

2. Hello,

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

?

3. 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: $h(x)=g(f(x))$

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