Answer:
32
Step-by-step explanation:
Step 1: Define
f(x) = 3x² - 5x - 4
g(x) = -4x - 12
Step 2: Find f(g(x))
f(g(x)) = 3(-4x - 12)² - 5(-4x - 12) - 4
f(g(x)) = 3(16x² + 96x + 144) + 20x + 60 + 4
f(g(x)) = 48x² + 288x + 432 + 20x + 64
f(g(x)) = 48x² + 308x + 496
Step 3: Find f(g(-4))
f(g(-4)) = 48(-4)² + 308(-4) + 496
f(g(-4)) = 48(16) - 1232 + 496
f(g(-4)) = 768 - 736
f(g(-4)) = 32
Answer:
E
Step-by-step explanation:
11x-4<15
11x<11
x<1
12x-7>-25
12x>-18
x>-3/2
x<1 or x>-3/2, that covers the whole x-axis domain
Well the shortest length would be 16 because you would have to divide 80 by 5, so it would be greater than or equal to 16. Is that the whole question or is there more to it?