Answer:
No it wont
Step-by-step explanation:
You can see that the scalar difference between f(x) and g(x) is getting smaller as x increases. When x = 2, f(x) is bigger than g(x) by a factor of 6 [4x6 = 24]
When x = 4, f(x) is bigger than g(x) by a factor of a little more than 5.
When x = 6, f(x) is bigger than g(x) by a factor about 3
When x = 8, f(x) is bigger than g(x) by a factor of less than 2,
As x increases, the factor between the answers is decreasing, eventually g(x) will overtake f(x).
When x = 9, this happens,
f(9) = 5(9²) + 4 = 409
g(9) = 2^9 = 512
Since both functions are continuous, g(x) will continuously be larger than f(x) since g(x) grows exponentially
