Part (a)
Locate x = -1 on the x axis. Draw a vertical line through this x value until you reach the f(x) curve. Then move horizontally until you reach the y axis. You should arrive at y = 4. Check out the diagram below to see what I mean.
Since f(-1) = 4, this means we can then say
g( f(-1) ) = g( 4 ) = 4
To evaluate g(4), we'll follow the same idea as what we did with f(x). However, we'll start at x = 4 and draw a vertical line until we reach the g(x) curve this time.
<h3>
Answer: 4</h3>
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Part (b)
We use the same idea as part (a)
f(-2) = 5
g( f(-2) ) = g(5) = 6
<h3>
Answer: 6</h3>
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Part (c)
Same idea as the last two parts. We start on the inside and work toward the outside. Keep in mind that g(x) is now the inner function for this part and for part (d) as well.
g(1) = -2
f( g(1) ) = f(-2) = 5
<h3>
Answer: 5</h3>
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Part (d)
Same idea as part (c)
g(2) = 0
f( g(2) ) = f( 0 ) = 3
<h3>
Answer: 3</h3>
Answer:
x = 15
Step-by-step explanation:
The easiest way to solve this is to realise that a triangle takes up half the area of a rectangle of the same width and height.
We are told that the width of the triangle is 10, and that the line of length 10 is perpendicular to the longest side of the triangle. Because of that we know that x can be multiplied by ten to get the area of the rectangle that is twice the area of the triangle.
We are also told that the triangle's area is 75 units. With all of that put together, we can say:

Answer:
There is no single answer to this question other than The first graph on the left is the answer. But you should read the explanation and memorize it.
Step-by-step explanation:
It's the first graph on the right. The points are always plotted (without exception) as (x value which means go along the x axis horizontally - left or right.), (y value which means to up (for a plus y) or down for a minus y. These facts are just memorized.
Summary
(x,y)
- x goes either left or right.
- x>0 goes right.
- x<0 goes left.
- y goes up or down
- y > 0 goes up
- y < 0 goes down
Locations
First point (Please label this as first point) - 3 (that goes left) 2 that goes up
You should be putting it in the upper left space.
Second Point. (-2,-2) that goes 2 to left and 2 down. You should put that point in the lower left space. There's only 1 point in the lower left space and that is this point.
Third Point (0,1) That's the only point on the y axis. It is above the x axis. It is all by itself on the y axis line. The other two points are done the same way. Please make sure you try them.
Answer:
228.4
Step-by-step explanation:
9.2 + 9.2 + 60 + 75 +75 which is 228.4. Remember to divide the triangles by two after you do base times height.