Answer:
We conclude that:
Step-by-step explanation:
Given
f(x) = x² + 3x + 2
g(x) = x + 5
To determine
f(g(5)) = ?
In order to determine f(g(5)), first, we need to determine g(5)
substitute x = 5 in g(x) = x + 5
g(x) = x + 5
g(5) = 5 + 5
g(5) = 10
so
f(g(5)) = f(10)
now determine f(10)
substitute x = 10 in f(x) = x² + 3x + 2
f(x) = x² + 3x + 2
f(6) = (10)² + 3(10) + 2
f(6) = 100 + 30 + 2
f(6) = 132
so
f(g(5)) = f(10) = 132
Therefore, we conclude that:
