I have loaded the image. It contains the mathematical problem related to a function $g(x) = x^2 - 2x + 5$, and it asks to find $g(2x)$. Let me calculate that for you.

We are given the function $g(x) = x^2 - 2x + 5$, and we need to find $g(2x)$. This means we substitute $2x$ for every $x$ in the original function expression:

$g(2x) = (2x)^2 - 2(2x) + 5$

Now simplify the expression:

$g(2x) = 4x^2 - 4x + 5$

Thus, the expression for $g(2x)$ is $4x^2 - 4x + 5$.

Would you like more details or clarification?

Here are some related questions:

1. What does the function $g(x)$ represent graphically?
2. How would you evaluate this function at a specific value of $x$?
3. How does this type of function relate to quadratic functions?
4. What is the vertex form of this quadratic function?
5. How can you solve for $x$ in the equation $g(x) = 0$?

Tip: Quadratic functions always have a parabolic shape when graphed, and their vertex can be found using the formula $x = -\frac{b}{2a}$ where $a$ and $b$ are the coefficients of $x^2$ and $x$, respectively.