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.
Answer:
what do you need help with tho lol
Step-by-step explanation:
Answer:put a pt on the y on -2 then go down 3 and 2 right put another pt
Then from first pt go up 3 and 2 left
Now you have 3 pts look at picture
Step-by-step explanation:
4^4 * 4^(-9) = 4^(4-9) = 4^(-5) or 1/(4^5)
Answer:
<h2>b = 4</h2>
Step-by-step explanation:
