For q(x) = -2x - 2 and r(x) = x^2 + 2
Find the value of q(r(3)).
This is a problem that asks for you to find a function of a function. First things first, you must understand that it is asking you to plug r(3) into q(x) as the value of x.
Let's start by plugging 3 into r(x). Doing so, you'd get
r(3) = 3^2 + 2
Solve it.
r(3) = 9 + 2
r(3) = 11
You can see now that q(r(3)) is really q(11). Plug it in.
q(r(3)) = -2(11) - 2
Solve it.
q(r(3)) = -22 - 2
q(r(3)) = -24
Answer:
Answer B ![(-\infty,1)U(1,2]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C1%29U%281%2C2%5D)
Step-by-step explanation:
Notice that the quotient of f(x)/g(x) is:
therefore, this new function imposes conditions due to the fact that it has a square root in the numerator and a binomial in the denominator both with the variable x. Then, in order for the root in the numerator to be defined, the argument inside the root must be larger than or equal to zero. That is:
So, this condition must be satisfied by the x-values of the domain.
Then we have the binomial in the denominator, which in order to be defined needs to be different from zero. Notice that the only x-value that could cause problems (render zero) is:
Then, 
So we have to eliminate the number 1 from the previous subset that required x smaller than or equal to 2.
The way to represent this Domain is then:
L=2w+30
If I had one of the numbers I'd be able to help more
Answer: The following statements are correct :
Data are typically collected from a sample because it is too difficult and expensive to collect data from an entire population.
When the results from a sample are extended to the population, it is called inference.
If data are not collected properly, the conclusions that are drawn will be meaningless.
The following statement is false: <u><em>The first step in the process of statistics is to collect the data.</em></u>
The first step in the process of statistics is to <em><u>Plan: develop a statistical inquiry that can be answered with aggregation of data.</u></em>
