(10x 5 - 3x 6)
(50x - 18x)
(f-g) = 32x
        
             
        
        
        
Answer:
Domain = {All real values of x EXCEPT x = -5 and x = 7}
Step-by-step explanation:
This is a rational function given as y=\frac{6+9x}{6-|x-1|}y= 
6−∣x−1∣
6+9x
 
 
The domain is the set of all real value of x for which the function is defined.
For rational functions, we need to find which value of x makes the denominator equal to 0. We need to exclude those values from the domain.
Now
6 - |x-1| = 0
|x-1| = 6
x- 1 = 6
or
-(x-1) = 6
x = 6+1 = 7
and
-x+1=6
x = 1-6 = -5
So, the x values of -5 and 7 makes this function undefined. So the domain is the set of all real numbers except x = -5 and x = 7
 
        
             
        
        
        
Simply substitute the value of 
3
 given. In other words, 
f
(
3
)
 is the function of 
f
(
x
)
, however, in this case, 
x
 is 
3
f
(
3
)
=
3
(
3
)
−
4
Distribute 
3
 through the parenthesis
f
(
3
)
=
9
−
4
Simplify
f
(
3
)
=
5
 
        
             
        
        
        
The vertex would be at (3, 6). 
 
        
             
        
        
        
Step-by-step explanation:
1.solution
=2a+5a
=7a
2.solution
=12x-3x
=9x
3.solution
=3p+2p-p
=5p-p
=4p
Hope it helps you.