Answer:
The growth factor of f(x) is less than the growth factor of g(x).
Step-by-step explanation:
The general form of exponential function is
![h(x)=ab^x](https://tex.z-dn.net/?f=h%28x%29%3Dab%5Ex)
Where, a is the initial value and b is the growth factor.
The given function is
![f(x)=4(3)^x](https://tex.z-dn.net/?f=f%28x%29%3D4%283%29%5Ex)
The initial value of f(x) is 4 and the growth factor is 3.
From the given table it is noticed that the function g(x) is passing through the points (0,3), (1,12), (2,48).
![3=ab^0](https://tex.z-dn.net/?f=3%3Dab%5E0)
![a=3](https://tex.z-dn.net/?f=a%3D3)
![12=3(b)^1](https://tex.z-dn.net/?f=12%3D3%28b%29%5E1)
![b=\frac{12}{3}=4](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B12%7D%7B3%7D%3D4)
![g(x)=3(4)^x](https://tex.z-dn.net/?f=g%28x%29%3D3%284%29%5Ex)
The initial value of g(x) is 3 and the growth factor is 4.
Therefore the growth factor of f(x) is less than the growth factor of g(x).