Answer:
(-5, -7)
Step-by-step explanation:
The intersection of f(x) and g(x) occurs when f(x) = g(x).
f(x) = g(x)
2x + 3 = -4x - 27
2x + 30 = -4x add 27 to both sides
30 = -6x subtract 2x from both sides
-5 = x divide both sides by -6
Thus, f(x) and g(x) intersect at x = -5. Plugging that into f(x) and g(x),
f(-5) = 2(-5) + 3 = -10 + 3 = -7
g(-5) = -4(-5) - 27 = 20 - 27 = -7
Thus, f(x) and g(x) intersect at (-5, -7).
