Question

If f(x)=x^2+1 and g(x)=1/x, find f(g(x))?

Answer 1

`f(g(x))=1/x^2+1`

Explanation:

`f(x)=x^2+1`
`g(x)=1/x`

In order to find `f(g(x))`, we must substitute `g(x)` in for `x` for the equation `f(x)`.

`(1/x)^2+1`

Now, all we need to do is simplify to find the final answer.

`1/x^2+1`