the Gilbert family brought airline tickets online. each ticket cost $186.the website also charged a flat fee of $16 for the tran
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Let's call that number x, twice the number will be 2x, sum of it and 5 is, 2x+5. So if this expression is at most 15, it means, it can be only less than 15 and equal to 15. Let's show this as an inequality.
Let's solve.
![x\quad \in \quad \left[ -\infty ,5 \right]](https://tex.z-dn.net/?f=x%5Cquad%20%5Cin%20%5Cquad%20%5Cleft%5B%20-%5Cinfty%20%2C5%20%5Cright%5D%20)
If the number is a natural number. The values it can take is,![x\quad \in \quad \left[ 0,1,2,3,4,5 \right]](https://tex.z-dn.net/?f=x%5Cquad%20%5Cin%20%5Cquad%20%5Cleft%5B%200%2C1%2C2%2C3%2C4%2C5%20%5Cright%5D%20)
Let's solve.
If the number is a natural number. The values it can take is,
or can be written as
This is a question about the composition of functions and how to get a domain function.
Given and
.
We will form (b o a)(x) and then determine the domain.
<u>Step-1</u>
Replace each appearance of x in b(x) with .
Thus,
<u>Step-2</u>
To be defined, the value under the radical sign must not be negative. Therefore, the domain of are processed as follows.
Both sides added by 3.
Both sides divided by 3.
Thus, the domain of is
or can be written as
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Keywords: composition of function, if a(x) = 3x + 1, and, b(x) = √(x-4), what is the domain of, (b o a)(x), b(a(x)), defined, the value, under the radical sign, must not be negative,
