You can solve this in two ways.
1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.
2. Analytical. Calculate the derivative of the function f(x)

Solve the equation:

will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:

You get the same answer: x=-2, y=-9
So the answer is
<span>B. (-2, -9)</span>
Answer:

Step-by-step explanation:
Given


Required

This is calculated as:

Since, it is a probability with replacement, we have:

So, we have:


9514 1404 393
Answer:
-40m² +112
Step-by-step explanation:
g(f(6-2m²)) = g(-4(6 -2m²)) = g(8m² -24)
= -5(8m² -24) -8 = -40m² +120 -8
g(f(6-2m²)) = -40m² +112