SOLUTION:
Step 1:
In this question, we are given the following:
Compute a formula for f(g(x)).
Simplify your answer as much as possible.
Step 2:
The details of the solution are as follows:
[tex]\begin{gathered} f(g(x))\text{ = f(}\frac{2}{x}) \\ \text{But f(x) = }\frac{1}{x+\text{ 3}} \\ \text{Then,} \\ f(\frac{2}{x})\text{ =}\frac{1}{\frac{2}{x}+\text{ 3}} \end{gathered}[/tex]
CONCLUSION:
[tex]f(g(x))\text{ =}\frac{1}{\frac{2}{x}+\text{ 3}}[/tex]
