Hello there!
I'm assuming since there is no question, that you want an explanation for composite functions.
Today, I want to introduce you to a very new way of looking at functions. Think of a function as a machine. I'll call this machine f. When you plug something into this machine, it is an x-value. The machine changes the x-value into a new value which is called a y-value. This is how a function works.
With composite functions though, things get a little bit tricky. To make f(g(x)), you need to plug in x into the g machine, and it will give you an output. (y-value) The next thing you do is take that y-value and plug it into the g machine. The g machine then gives you a new value. This value is f(g(x)).
Let's do an example together...
f(x)=3x and g(x)=x²+4
if we want f(g(x)), first plug in x to the g machine. when plugging in x to the g machine, we get x²+4 as given in the question.
Now we must plug in g(x) into the f machine. Since g(x) is x²+4, we just replace x with x²+4.
We get 3(x²+4)
This means that f(g(x))=3(x²+4)
NOTE: If you are seeking help with an actual question, please message me in the comments and I will assist you shortly!
I hope this helps!
Best wishes :)
I cannot see your picture, but if the plane cutting the cylinder is indeed perpendicular to the cylinder's base, then the cross section must be square or rectangular. Going by the shape of most cylinders, I would guess that it is rectangular.
Answer:
C
Step-by-step explanation:
Find the surface area:
Bottom base: 57 × 27 = 1,539
Top base: 21 × 27 = 567
Rectangular face: 23 × 27 = 621
Rectangular face: 23 × 27 = 621
Trapezoidal face: (21 + 57) ÷ 2 × 15 = 585
Trapezoidal face: (21 + 57) ÷ 2 × 15 = 585
1,539 + 567 + 621 + 621 + 585 + 585 = 4,518
The surface area is 4,518 square inches
Energy is the correct answer
