Question

(a) Compute a formula for f(g(x)). Simplify your answer as much as possible.

Answer 1

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:

`\begin{gathered} f(g(x))\text{ = f(}(2)/(x)) \\ \text{But f(x) = }\frac{1}{x+\text{ 3}} \\ \text{Then,} \\ f((2)/(x))\text{ =}\frac{1}{(2)/(x)+\text{ 3}} \end{gathered}`

CONCLUSION:

`f(g(x))\text{ =}\frac{1}{(2)/(x)+\text{ 3}}`