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.
(P-12)/2 ................................................................\
You can manipulate the number to make them easier to handle
3 and 1/3 times 12=36+4=40
6 and 1/4 times 12=72+3=75
so is 40=100% then wha is 75
40 and 75
divide by 2
20 and 37.5
multiply by 5
100 and 187.5
100=100% and 187.5=187.5%
187.5-100=87.5%
87.5% increase
I think estimation is terrible. If u want to truly solve it, you just need to get a common denominator on each of the fractions. that means the bottom half of both fractions must be the same in addition or subtraction. so here, the common denominator would be 66. What times 6 = 66? 11. So 1*11/6*11 = 11/66. Then what times 11 = 66? 6. So 6*6/6*11.
Your new problem is 2 11/66 + 3 36/66. Now you can just add it up, but the denominators will always stay the same, 66. Your answer would be 5 47/66
It’s probably true as matter is either gas liquid or solid
