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:
-1/5>-10/4
Step-by-step explanation:
In the negatives, If you take away the negative the lower number is more.
Think about a number line, if you are at -1/5, it means that you are 1/5 away from 0. If you are at -10/4, It means that you are 10,4 away from 0.
In conclusion, -1/5>-10/4
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The additive inverse of a complex z is a complex number
so that
Finding
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Tags: <em>complex number additive inverse opposite algebra</em>
Answer:
Expression
Step-by-step explanation:
Expressions use numbers, variables, and operations to form a mathematical calculation.
Equations are similar except they use equal signs, so that makes them different than expressions.
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Answer:
x= 5
Step-by-step explanation:
