Answer:
c
Step-by-step explanation:
That funky circle in the middle is the composition of the function. It asks you to take a function as an input and to yield an output that's another function. It's one of the five function operations, along with adding, subtracting, multiplying, and dividing.
When you compose, you might find the notation w(u(x)) easier to understand. It's saying evaluate u then evaluate w.
For our functions, the compositions are:
u(w(x)) = u(2x²) = -(2x²) - 2 = -2x² - 2
w(u(x)) = w(-x - 2) = 2(-x - 2)² = 2(x² + 4x + 4) = =2x²+ 8x +8
Now we evaluate each composition at 4.
u(w(4)) = -2(4²) - 2 = -2(16) - 2 = -32 -2 = -34
w(u(4)) = -2(2²) +8(2) + 8 = -2(4) + 16 + 8 = -8 + 16 + 8 = 16.
Thus, u(w(4)) = -34 and w(u(4)) = 16.
9514 1404 393
Answer:
3.08 hours
Step-by-step explanation:
We assume you're interested in the time in hours.
It will take 3.08 hours to travel 175 miles at that speed.
Answer: The answer is 180 degrees
A.
Circumference = π * diameter or
π * 2*radius (diameter = 2 * radius).
So you would divide by π to get the diameter, then divide by 2 to get the radius. So A.
