Part 1: Yes because each input has 1 unique output.
Part 2: The domain is [1, 2, 3, 4, 5]
        
             
        
        
        
Answer:
Step-by-step explanation:
Transformed of the function has been given as,
f(x) = 
      = 
Parent function of this transformed function = 
Vertical stretch = By a factor of 
Horizontal shift = 3 units to the left
Vertical shift = 3 units up
Now we can summarize these transformations as,
1). Parent function g(x) =  has been vertically stretched by a factor of
 has been vertically stretched by a factor of 
2). Followed by the translations of 3 units left and 3 units up.
 
        
             
        
        
        
2y+3x-5x^2-g contains 4 terms that cannot be further simplified without know the values for the variables y, x, and g. Although 3x and -5x^2 contain the same variable x, since they have have different exponents, we can not directly add them together without knowing the value of x. 
The answer is 4.