Answer:
We conclude that:
f(g(-2)) = -3
Step-by-step explanation:
Given
To determine
In order to determine f(g(-2)), first we need to determine g(-2)
so substituting x = -2 in g(x) = x-3
g(-2) = -2 - 3
= -5
Thus,
f(g(-2)) = f(-5)
now substitute x = -5 in the function f(x) = 2x+7
f(x) = 2x+7
f(-5) = 2(-5) + 7
f(-5) = -10 + 7
f(-5) = -3
so
f(g(-2)) = f(-5) = -3
Therefore, we conclude that:
f(g(-2)) = -3
