To solve g(f(2)), we need to solve for f(2) as:
f(x) = 4x - 3
Replacing x by 2, we get:
f(2) = 4(2) - 3
f(2) = 8 - 3
f(2) = 5
Now g(f(2) is equal to g(5), so:
[tex]g(x)=\frac{2x-1}{3}[/tex]So, replacing x by 5, we get:
[tex]\begin{gathered} g(x)=\frac{2(5)-1}{3} \\ g(x)=\frac{10-1}{3} \\ g(x)=\frac{9}{3} \\ g(x)=3 \end{gathered}[/tex]Answer: g(f(2)) = 3
