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=2, -4, -1
Step-by-step explanation:
-x³-3x²+6x+8=0
Multiply entire equation by -1:
x³+3x²-6x-8=0
Since x=2 is a solution, then x-2 must be a factor. Then:
x³+3x²-6x-8/x-2=x²+5x+4
x²+5x+4=0
Factor this:
x²+5x+4=(x+4)(x+1)=0
x=-4, -1
x=2, -4, -1
Answer:
27 divided by 3 is =9
Step-by-step explanation:
Step-by-step explanation:
8:00 + 8:00 = 16:00 = 4:00PM
