Can someone help me with my math homework
1 answer:
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Answer:
Expression:
Value of the expression when :
Step-by-step explanation:
Let's first focus on the expression: '6 more than twice a number'. Twice a number is the same as saying two times a number. Let's have that number be represented by . Twice a number would mean
, and 6 more than that would just be
.
We'll then plug in 5 for to get the value of the expressinn:
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,
