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

May 15, 2018

$f \left(g \left(x\right)\right) = \frac{1}{x} ^ 2 + 1$

#### Explanation:

$f \left(x\right) = {x}^{2} + 1$
$g \left(x\right) = \frac{1}{x}$

In order to find $f \left(g \left(x\right)\right)$, we must substitute $g \left(x\right)$ in for $x$ for the equation $f \left(x\right)$.

${\left(\frac{1}{x}\right)}^{2} + 1$

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

$\frac{1}{x} ^ 2 + 1$