Answer:
-7 < f(x) < 17
Explanation:
f(x) = 3x + 2
The given domain is -3 < x < 5
If x = -3, f(x) = f(-3) = 3(-3) + 2 = -9 + 2 = -7
If x = 5, f(x) = f(5) = 3(5) + 2 = 15 + 2 = 17
The range of f(x) is the set of permissible values for f(x) for the given domain -3 < x < 5
Therefore range of f(x): -7 < f(x) < 17