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:
Volumen de una fórmula de esfera. El volumen de una esfera es de 4/3 x x (diámetro / 2) 3, donde (diámetro / 2) es el radio de la esfera (d á 2 x r)
The length of segments ab is 24
If the radius is HALF of the diameter, then the expression would be 1/2r=d or d/2=r.
hope it helps!
Answer:
7 minutes
Step-by-step explanation:
The scientist changes the temperature for the solution at a rate of -7°C per minute. We need to find out how long it'll take for the solution's temperature to change from 0°C to -49°C. So, we divide -7 by -49 to find out how long it will take:
-49 / -7 = 7
It will take 7 minutes for the temperature to reach -49°C.
