Answer :
Answer:
f ∘ g(5) = 47
Step-by-step explanation:
We are given the following functions:
[tex]f(x) = 3x + 2, g(x) = 2x + 5[/tex]
Composite function:
The problem asks their composite function at x = 5. So
[tex]f \circ g = f(g(x)) = f(2x + 5) = 3(2x + 5) + 2 = 6x + 15 + 2 = 6x + 17[/tex]
[tex]f(g(5)) = 6(5) + 17 = 30 + 17 = 47[/tex]
We have that f ∘ g(5) = 47