Answer:
All Real x larger or equal zero
or in inequality form: 
or in interval notation: 
Step-by-step explanation:
If 
and 
, then using the definition for the composition of functions 
, we get:
Base on this final expression, we understand that the Domain (numbers that can be used as input of the function and produce a real number as result) of this new function is limited to those x-values larger than or equal to zero. Negative numbers inside the square root will not produce a real number.
Therefore, the Domain is restricted to All Real numbers larger than or equal to o (zero).
This statement can also be given in inequality form as
or in interval notation:
The answer would be thousands
To solve this problem you must apply the proccedure shown below:
1. You have the following function:
2. You can rewrite it as following:
3. The line intersects the y-axis when 
, therefore:
4. The line intersects the x-axis when 
:
5. Now plot the points (0, 0.5) and (1,0) in a graph , as you can see in the figure attached.
Therefore, the answer is: The points of intersection are (0, 0.5) and (1,0).
B : 4 x 12 inch strings and 2 x 8 inch strings
C : Add all the lengths = 84
Based on the given nomenclature of angles, I think the illustration would look like that shown in the attached picture. The common vertex is point B, that's why the middle point of the given angles is B. Now, according to Angle Addition Postulate, the individual interior angles should sum up to the total angle. So, the equation would be
m∠ABD = m∠ABC + m∠CBD
m∠ABC = m∠ABD - m∠CBD
m∠ABC = 85° - m∠CBD
