Final answer:
To find the composite function f(g(x)), substitute g(x) into f(x) by replacing x in f(x) with g(x), then simplify the expression.
Step-by-step explanation:
To find the composite function f(g(x)), we need to substitute g(x) into f(x). First, we replace x in f(x) with g(x), so f(g(x)) = ln(g(x)/2).
Next, we substitute g(x) into the expression: f(g(x)) = ln((e²ˣ)/2).
Finally, we simplify the expression: f(g(x)) = ln(e²ˣ/2).