Use the function rule f(x) = 7(4)^x + 10 to find f(0).

1. Identify the function rule: The given function rule is $f(x) = 7(4)^x + 10$.
2. Determine the value to substitute for x: We need to find $f(0)$, so we substitute $x=0$ into the function.
3. Substitute x = 0 into the function: Replace every instance of $x$ in the function rule with $0$.
$$f(0) = 7(4)^0 + 10$$
4. Evaluate the exponent: Any non-zero number raised to the power of $0$ is $1$. So, $4^0 = 1$.
$$f(0) = 7(1) + 10$$
5. Perform the multiplication: Multiply $7$ by $1$.
$$f(0) = 7 + 10$$
6. Perform the addition: Add $7$ and $10$.
$$f(0) = 17$$