Answer:
f(x) is 5x³ and g(x) is x+1
Step-by-step explanation:
Given the composite function:
h(x) = f(g(x)) = 5(x + 1)³
The function and be splitted into 5x³ and x+1 where f(x) = 5x³ and g(x) = x+1
Check:
f(g(x)) = f(x+1)
Substitute x with x+1 inn f(x)
f(x+1) = 5(x+1)³
f(g(x)) = 5(x+1)³ (which gives the required function
Hence one possibility of f(x) is 5x³ and g(x) is x+1