Answer:
g(x) eventually exceeds f(x) because g(x) is increasing exponentially
Step-by-step explanation:
Consider the functions f and g below. f(x)=x+4 g(x)=(5/4)^x
f(x) =x+4 is a linear function
g(x)= (5/4)^x is an exponential function
Exponential function increases rapidly as x increases
Linear function increases at a constant rate
The graph of exponential function exceeds the graph of linear and quadratic functions.
So , g(x) eventually exceeds f(x) because g(x) is increasing exponentially
