It looks like you've uploaded an image that contains a mathematical expression for a function:

$f(x) = 3x - 14 + e^x - e^{-x}, \quad x \in [1, 3]$

This expression represents a function $f(x)$ defined on the interval $[1, 3]$, and it contains a linear term $3x - 14$ along with exponential terms $e^x$ and $e^{-x}$.

Would you like to compute specific values of $f(x)$ at points in the interval or perform any other analysis on this function, such as finding its derivative or solving any related differential equations?

Let me know how you'd like to proceed!

Here are a few related questions for further exploration:

1. How would we find the derivative of this function $f(x)$?
2. What is the value of $f(x)$ at $x = 1$ and $x = 3$?
3. How can we use this function in the context of differential equations?
4. What are the behavior and properties of exponential functions like $e^x$ and $e^{-x}$?
5. How do exponential functions contribute to the solution of linear differential equations?

Tip: When dealing with exponential functions in expressions like this one, it can be useful to look for common properties, such as symmetry or rates of growth/decay, to make sense of the behavior of the function.

Let me know if you need further help!