Answer:
(-8,8)
Step-by-step explanation:
The midpoint 
 of the segment AB with endpoints 
 and 
 has coordinates

In your case, 
 then

 
        
             
        
        
        
Answer:
p(7) = 57
Step-by-step explanation:
Because this is a function, all you have to do is input 7 for x like so:
p(x)=x^2+x+1 --------------->     p(7)=7^2+7+1
                                             so 49 + 8
                                                 = 57
 
        
             
        
        
        
Answer:
To find the transformation, compare the two functions and check to see if there is a horizontal or vertical shift, reflection about the x-axis, and if there is a vertical stretch.
Parent Function: 
g(x)=|x|
Horizontal Shift: Right 4 Units
Vertical Shift: Up 1 Units
Reflection about the x-axis: None
Vertical Compression or Stretch: None
Step-by-step explanation:
 
        
             
        
        
        
Solution for f(g(5)):
The notation f(g(5)) or (f • g)(5) means that we first plug 5 into the function g(x), simplify, then plug the answer that we got to f(x). We will do this step-by-step:
Step 1: Plugging 5 to g(x)

Step 2: Plugging the answer to f(x)

ANSWER: f(g(5)) is equal to 3.
Domain:
For the function f(g(x)), we can find the domain by analyzing the domains of each individual functions separately and excluding certain values depending on the restrictions from the outermost function.
However, since both functions have all real numbers as its domain, we will not need to do any exclusion anymore.
ANSWER: The domain of the function is all real numbers.