When asking for they are basically asking you to evaluate the function
for -2, find a y value, and plug in that value as x in
Let's do it step-by-step:
1. Find the value of g(-2).
G(x) is given as a graph, therefore, you will have to see what value of axis y marks the graphic when you make x=-2. <em>Check the attached image</em>. As you may notice, the value that function g(x) generates for x= -2 is y= -3. Hence, g(-2)= -3.
2. Substitute the value into f(x).
F(x) is a piecewise function, so we'll need to determine the group the value fits into and calculate with the expession that corresponds for that value. Our value is -3, this value is less than -2, therefore, the function we'll have to use is .
3. Determine the value of f(-3).
Since f(x)= 7 for our value (-3), the result is 7.
4. Express your answer.
Given:
M is the midpoint of AB.
M(2,0) and A(-3, 3).
To find:
The coordinates of point B.
Solution:
Midpoint formula:
Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get
On comparing both sides, we get
And,
Therefore, the coordinates of point B are (7,-3).
