Final answer:
To find f(g(x)), substitute g(x) into f(x), resulting in f(g(x)) = 3(2^x) + 5. Without a value to solve for, the composition of functions remains an expression in terms of x.
Step-by-step explanation:
To find the function f(g(x)), we need to substitute the function g(x) into the function f(x). The given functions are f(x) = 3x + 5 and g(x) = 2x. Therefore, f(g(x)) means we are substituting g(x) into the x of function f(x).
Computing this, we get:
- f(g(x)) = f(2x)
- f(g(x)) = 3(2x) + 5
This is the composition of the function f(x) after substituting g(x). Now, to solve this function, we would typically set it equal to a value and find x that satisfies the equation. However, without a specific value to solve for, we leave the function as is.