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.
We are 114.28 m from the base of the plateau .
<u>Step-by-step explanation:</u>
Here we have , suppose that you are headed toward a plateau 80 meters high. if the angle of elevation to the top of the plateau is 35 degree, WE need to find that how far are you from the base of the plateau . If we see in question , it's clearly a question from application of trigonometry :
We have ,
( between base & hypotenuse )
It's a right angled triangle , So
⇒
⇒ 
⇒ 
⇒ 
⇒ 
Therefore, We are 114.28 m from the base of the plateau .
Answer:
Step-by-step explanation:
6x + 2y = 12 Subtract 6x from both sides
6x-6x+2y = -6x+12 Combine
2y = -6x + 12 Divide all parts of the equation by 2
2y/2 = - 6x/2 + 12/2
y = - 3x + 6
Slope = - 3
y intercept = 6
