Answer: f'(x) = 10
Step-by-step explanation: To find f'(x), we need to take the derivative of g(x) with respect to x.
The derivative of 3x is 3, and the derivative of 7x is 7. Since the derivative of a constant is 0, the derivative of -1 is 0. Therefore, we can simplify g(x) to:
g(x) = 3x + 7x - 1 = 10x - 1
The derivative of 10x is 10, and the derivative of a constant is 0. Therefore, f'(x) = 10.