Fm=5y+13,mg=5-3y,fg=

1. Given functions:
F(y) = 5y + 13
g(y) = 5 - 3y

2. Composite function:
f(g(y)) = F(g(y))

3. Substituting $g(y)$ into $F$:
F(5 - 3y)

4. Applying $F$ to $5 - 3y$:
F(5 - 3y) = 5(5 - 3y) + 13

5. Simplifying inside the parentheses:
= 25 - 15y + 13

6. Combining like terms:
= 38 - 15y

Answer:
f(g(y)) = 38 - 15y