It is 5389.030 to nearest hundredth
(Fog) = f(g(x))
g(-2)=-2+4=2
f(2)=2^2 +3 = 4+3 =7
Answer:

Step-by-step explanation:
To solve this problem we need to be familiar with the formula for the surface area of a cone:

We are given the length of a side and the diameter, to calculate the radius divide the diameter in half:

To calculate the height of the cone, we must use the Pythagorean Theorem:

We can treat the side length as the hypotenuse
, the radius as the base
, and solve for height
. Set the expression up like this:

Now we can plug into our original formula:

We can use tan(x) = sin(x)/cos(x). Plug in numbers to get:
tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2)
Here, you can use the sin and cos addition identity:
tan(x+pi/2) = (sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)+sin(x)sin(pi/2))
If you simplify this, you get:
0+cos(x)/0-sin(x)
Which is the definition of cot(x). But, we can't forget about the '-' sign, so, the answer is -cot(x)