Answer:
The answer to your question is a) (f°g)(x) = 4x² + 2
b) (f + g)(x) = 4x² + x + 2
c) (f - g)(-3) = -37
Step-by-step explanation:
Data
f(x) = x + 2
g(x) = 4x²
a) Calculate (f°g)(x)
Just sum the function
(f°g)(x) = (4x²) + 2
-Simplification
(f°g)(x) = 4x² + 2
b) (f + g)(x)
(f + g)(x) = x + 2 + 4x²
-Simplification
(f + g)(x) = 4x² + x + 2
c) (f - g)(-3)
-Calculate (f - g)(x)
(f - g)(x) = x + 2 - 4x²
-Simplify
(f - g)(x) = -4x² + x + 2
-Evaluate in (-3)
(f - g)(-3) = -(4)(-3)² + (-3) + 2
-Simplification
(f - g)(-3) = -4(9) - 3 + 2
-Result
(f - g)(-3) = -36 - 3 + 2
(f - g)(-3) = -37
Heyy it’s 1:50! you would put the original two numbers in a ratio 16:800 divide by 8 and get 2:100 then divide by 2 and get 1:50!
First you expand the brackets, so
36 + 6y = 9 - 3y
Then you get all the y's on one side
+ 3y
36 + 9y = 9
- 36
9y = 9
Then you divide by 9 to get y by itself
y = 1
The solution is where the 2 lines cross each other so it is:
(4,3) and (2,11)
Answer is B
