Answer:
the second one
Step-by-step explanation:
when you multiply 2 negative numbers they turn into a positive
15/-5=-3
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:
Step-by-step explanation:
To solve this inequality, we have to find x (or make x the subject of the inequality:
since ⁻ˣ/₃ ≤ 6 [multiply both sides by 3]
- x ≤ 18 [multiply both sides by -1; this flips the inequality sign]
<h3> x ≥ - 18 [this is the solution]</h3><h3 />
To graph the inequality, draw the line x = - 18 with a solid line, and then shade the region that is x > -18.
We use a solid line because the point x = -18 is included. However, hypothetically, if the inequality was x > -18 only, a broken line would be used to show that the line x = -18 is not included.
Answer:
1,4
Step-by-step explanation:
The anwser is 1,4