Answer:
y = 8 · 10ˣ
Step-by-step explanation:
y = abˣ
When x = 0, y = 8.
8 = ab⁰
8 = a
When x = 3, y = 8000.
8000 = 8b³
1000 = b³
10 = b
The function is:
y = 8 · 10ˣ
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:
Step-by-step explanation:
6(-2.1k-2)+(7k+5)
-12.6k-12+7k+5
-5.6k-7
Answer:
Whatever is raised to the power of 0 is 1
SO the answer is 1
Answer:
5(m + 5) (m - 8)
Step-by-step explanation:
5m2- 15m- 200
Start by pulling 5 out.
5(m^2 - 3m - 40)
We consider all factors of 40
1 40
2 20
4 10
5 8
Based on the middle term we know that 5 and 8 are our best option.
5(m 5) (m 8)
We know the signs have to be one + and one - because a - * - = + and + * + = +
Since 5 - 8 would give us -3 we know that our answer is
5(m + 5) (m - 8)
