The resulting composite function (f∘f)(x) is x⁴+2x²+2
When a function is written inside another function, it is known as a composite function
Given the function f(x)=x²+1,
(f∘f)(x) = f(f(x))
f(f(x)) = f(x²+1)
This means we will need to replace x with x²+1 in f(x) as shown:
f(x²+1) = (x²+1)²+1
Expand
f(x²+1) = x⁴+2x²+1+1
f(x²+1) = x⁴+2x²+2
Hence the resulting composite function (f∘f)(x) is x⁴+2x²+2
Learn more here: brainly.com/question/3256461
Answer:
To obtain $ 100 in simple interest with a rate of 1.5%, Katie must deposit $ 6,666.66.
Step-by-step explanation:
Given that Katie wants to know how much she needs to deposit into a two year CD account in order to earn $ 100 in simple interest, knowing that the account currently has a 1.5% interest rate, the following calculation must be performed:
X x 0.015 = 100
X = 100 / 0.015
X = 6,666.66
6,666.66 x 1.015 = 6,766.66
Thus, to obtain $ 100 in simple interest with a rate of 1.5%, Katie must deposit $ 6,666.66.
Km pretty sure it’s C (the third one )
1 km=1093.61yards
6 km= 6*1093.61yards
6 km= 6561.66yards
Answer= 6561.66 yards
Answer:
15 ft.
Step-by-step explanation:
The tepee is a cone and its volume
= 1/3 pi r^2 h where r = radius and h = height.
The radius r = 1/2 * 10 = 5 ft.
So we have the equation:
393 = 1/3*3.14* 5^2 * h
h = 393 / (1/3*3.14*25)
= 15.02 ft.
