1) not sure of an example but it will be something with exponential growth.
2) Constant rate of change means the slope is the same between every point (always represented by a straight line). Average rate of change is the slope between the first and last point (not usually represented by a straight line).
3) g(x) = 3(2ˣ) - 6
g(0) = 3(2°) - 6 = 3(1) - 6 = 3 - 6 = -3 ⇒ coordinate (0, -3)
g(3) = 3(2³) - 6 = 3(8) - 6 = 24 - 6 = 18 ⇒ coordinate (3, 18)
average rate of change (slope) from x = 0 to x = 3: 
= 
= 7
You have to model both options.
1) The composition of function is applying one function to the result of the other.
2) f(x) composed with g(x) is (f ° g) (x) = f [ g(x) ] means apply the function f to the result of g(x).
3) g(x) composed with f(x) is (g ° f) (x) = g [ f(x) ] means apply the function g to the result of f(x).
4) Do both:
i) f (g(x) = 2 [ g(x) ] - 6 = 2 [ 5x + 1] - 6 = 10x + 2 - 6 = 10x - 4
ii) g (f(x) = 5 [ 2 (2x - 6) ] + 1 = 5 [ 4x - 12] + 1 = 20x - 60
5) Compare both outputs:
Is 20x - 60 > 10x - 4?
Solve the inequality:
20x - 10x > 60 - 4 ⇒ 10x > 56 ⇒ x > 5.6
Then:
i) for x = 5.6 both outputs are equal
ii) for x > 5.6 g(f(x) is greater
iii) for x < 5.6 f(x) is greater.
Answer:
x= -3
hope this helps pls mark brainliest :)
Answer:
what is the question
Step-by-step explanation:
