What figure is there, nothing is shown. Name?
C-9<20
c=eleven or anything below
Solution for f(g(5)):
The notation f(g(5)) or (f • g)(5) means that we first plug 5 into the function g(x), simplify, then plug the answer that we got to f(x). We will do this step-by-step:
Step 1: Plugging 5 to g(x)
![g(5)=5-2=3](https://tex.z-dn.net/?f=%20g%285%29%3D5-2%3D3%20)
Step 2: Plugging the answer to f(x)
![f(3)=3(3)-6=9-6=3](https://tex.z-dn.net/?f=%20f%283%29%3D3%283%29-6%3D9-6%3D3)
ANSWER: f(g(5)) is equal to 3.
Domain:
For the function f(g(x)), we can find the domain by analyzing the domains of each individual functions separately and excluding certain values depending on the restrictions from the outermost function.
However, since both functions have all real numbers as its domain, we will not need to do any exclusion anymore.
ANSWER: The domain of the function is all real numbers.
![Solve \ x^4 - 17x^2 + 16 = 0](https://tex.z-dn.net/?f=Solve%20%5C%20x%5E4%20-%2017x%5E2%20%2B%2016%20%3D%200)
To solve this equation , we need to write it in quadratic form
![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
To get the equation in quadratic form we replace x^2 with u
![x^2 = u](https://tex.z-dn.net/?f=x%5E2%20%3D%20u)
can be written as
, Replace u for x^2
So equation becomes
![u^2 - 17u + 16 = 0](https://tex.z-dn.net/?f=u%5E2%20-%2017u%20%2B%2016%20%3D%200)
Now we factor the left hand side
-16 and -1 are the two factors whose product is +16 and sum is -17
(u-16) (u-1) = 0
u -16 = 0 so u=16
u-1 =0 so u=1
WE assume u = x^2, Now we replace u with x^2
Now take square root on both sides , x= +4 and x=-4
Now take square root on both sides , x= +1 and x=-1
So zeros of the function are -4, -1, 1, 4
7.96 / 6 = 1.33 <== unit rate