Answer:
See explanations below
Step-by-step explanation:
Given the functions f(x)=2x+3 and g(x)=x^2-1
a. Find f(g(x))
 f(g(x)) = f(x^2-1)
 f(g(x)) = 2(x^2-1)+3
 f(g(x))= 2x^2-2+3
 f(g(x)) = 2x^2+1
Hence the composite function f(g(x)) is 2x^2+1
b) g(f(x)) = g(2x+3)
g(f(x) = (2x+3)^2-1
g(f(x)) = 4x^2+12x+9-1
g(f(x)) = 4x^2+12x+8
 
 
        
             
        
        
        
Hi Lawrence!
---------------------------------------------------
We Know:
Powersports Plus: $30 an hour plus a non-refundable deposit of $50.
Sun & Surf: $20 an hour plus a non-refundable deposit of $80.
---------------------------------------------------
Equation:
x = per hour
y = total
Powersports: 30x + 50 = y
Sun and Surf: 20x + 80 = y
---------------------------------------------------
Solution: (Add the deposit then start adding hourly costs)
Powersports: 80, 110, 140
Sun and Surf: 100, 120, 140
---------------------------------------------------
Answer: After <u>3 hours</u> both companies will cost the same amount of money.
---------------------------------------------------
Hope This Helps :)
 
        
             
        
        
        
I believe it is an acute triangle 
but I also am confused on this one
        
             
        
        
        
It’s -63 all you would be multiple like normal 63 which then you put a negative symbol on front
        
                    
             
        
        
        
Yes thats correct because they all equal eachother Ur right