Final answer:
The composition (f ◦ g) is 6x + 5.
Step-by-step explanation:
The composition (f ◦ g) represents the composition of two functions, f and g, where the output of g is used as the input for f. To find (f ◦ g), we substitute the function G(x) = 2x into the function F(x) = 3x + 5. So, we have:
(f ◦ g)(x) = F(G(x)) = F(2x) = 3(2x) + 5 = 6x + 5.
Therefore, the composition (f ◦ g) is 6x + 5.