Answer: 3
Step-by-step explanation:
Given
[tex]f(x)=\dfrac{1}{3}3^x[/tex]
[tex]g(x)=2x+4[/tex]
For [tex]f(x)<g(x)[/tex] to be true, the domain is given by observing the graph of two i.e. [tex]x\in (-1.981,3.117)[/tex]. In this range [tex]g(x)[/tex] is greater than [tex]f(x)[/tex].
From the above domain largest integer that can satisfy the condition is 3.
