Answer:

Step-by-step explanation:
we have


we know that
The function composition is equal to
(r ∘ s )(x) = r(s(x))
In the function r(x) substitute the variable x by the function s(x)
so

For x=3
substitute the value of x=3 in the function composition




Answer: x = -2 and x = -3
Step-by-step explanation:
y = x^2 + 5x + 6 *FACTOR*
(x+2) (x+3) = 0
x + 2 = 0
-2 -2
x = -2
x + 3 = 0
-3 -3
x = -3
Refer to the diagram shown below.
When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15 (1)
Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6 (2)
a(90 - h)² + k = 6 (3)
From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.
From (1) and (2), obtain
225a + k = 15
2025a + k = 6
Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft
Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125
A graph of the solution verifies that the solution is correct.
Answer:
D
Step-by-step explanation:
The function
has value F(2) when x = 2 is substituted.
