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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,
