For this case we must find the inverse of the following function:

For this, we follow the steps below:
We change f (x) to y:

We exchange the variables:

We solve for y:

We divide between 8 on both sides of the equation:

We raise both sides of the equation to the square to remove the root:

So, the inverse is:
ANswer:
Option C
Answer:
11. A. 
12. D. 
Step-by-step explanation:
11: Sin is just the side opposite of the angle divided by the hypotenuse of the triangle
Opposite of A = 36
Hypotenuse of the triangle = 39
36/39 = 
12. Tan is the side opposite of the angle divided by the side adjacent to the angle
Opposite of C = 35
Adjacent to C = 12
35/12 = 
Hope this helps!
Answer:

Step-by-step explanation:
k = 3pw
Step 1: switch sides.
3pw = k
Step 2: Since you want w alone, and w is being multiplied by 3p, divide both sides by 3p.

Answer:
∠ EBF = 98°
Step-by-step explanation:
(3x - 15) and (2x + 10) are vertically opposite angles and are congruent, then
3x - 15 = 2x + 10 ( subtract 2x from both sides )
x - 15 = 10 ( add 15 to both sides )
x = 25
3x - 15 = 3(25) - 15 = 75 - 15 = 60°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ EBF is an exterior angle of the triangle , then
∠ EBF = 60° + 38° = 98°