Answer: (-5, -7)
Step-by-step explanation: To find the intersection of two functions, you need to set them equal to each other and solve for x.
In this case, we have:
2x + 3 = -4x - 27
Adding 4x to both sides, we get:
6x + 3 = -27
Subtracting 3 from both sides, we get:
6x = -30
Dividing both sides by 6, we get:
x = -5
Now that we have the value of x, we can find the corresponding value of y by plugging it into either of the original equations. Let's use f(x) = 2x + 3:
f(-5) = 2(-5) + 3 = -7
Therefore, the intersection of the two functions is (-5, -7).