To find $h(t)$, you simply substitute $t$ for $x$ in the function $h(x) = 4x^2 + 3x - 5$.

Thus:

$h(t) = 4t^2 + 3t - 5$

This is the expression for $h(t)$.

Would you like more details, or do you have any questions?

Here are 5 related questions:

1. What is the value of $h(2)$ for the same function?
2. How do you find the derivative of $h(x)$?
3. What would be the graph of $h(x) = 4x^2 + 3x - 5$?
4. How do you find the roots of $h(x) = 0$?
5. What is the maximum or minimum point of $h(x)$?

Tip: Always carefully substitute variables into functions to avoid mistakes, especially in more complex expressions!