To solve the problem "Find $5g(4) + 6h(1)$ in simplified form", we need the definitions or expressions for the functions $g(x)$ and $h(x)$.

Do you have those definitions, or can you provide additional information about the functions $g(x)$ and $h(x)$? Without knowing the values of $g(4)$ and $h(1)$, I cannot simplify the expression.

Once you provide those, I'll be able to help you simplify the expression.

Would you like to ask questions related to this? Here are some examples:

1. What if $g(x) = 2x + 1$ and $h(x) = x^2 + 3$?
2. How do you evaluate a function at a given point?
3. What is function composition, and how does it differ from function evaluation?
4. Can functions have more than one input?
5. How do we simplify algebraic expressions with multiple terms?

Tip: Always substitute known values into a function carefully to avoid mistakes in calculations.