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.
Given that <span>Liza
needs a total of 22.23 square feet of terry cloth to make a beach towel
and a beach bag and the beach bag requires 5.13 square feet of cloth, then the amount of cloth required to make the beach towel is given by
22.23 - 5.13 = 17.1 square feet.
From the figure, given that the width of the beach towel is 3 feet, then the length of the beach towel is given by
17.1 ÷ 3 = 5.7 feet
</span>
Answer:
<span>=<span>47/8</span>=5 and <span>7/<span>8</span></span></span>
Part one is 11 1/8.
part two is 4 7/40.
Answer:
top right
Step-by-step explanation:
