Applying the division of functions f(x) and g(x), it is found that the quotient and the domain are given, respectively, by:
3) 2x + 3; domain is the set of all real numbers except 1​.
What is the domain of a function?
It is the set that contains all possible input values.
In this problem, the functions are given as follows:
Hence the division is given by:
[tex]\frac{f(x)}{g(x)} = \frac{2x^2 + x - 3}{x - 1}[/tex]
The denominator cannot be zero, hence the domain is [tex]x \neq 1[/tex].
Considering that 2x² + x - 3 = (2x + 3)(x - 1), the function can be simplified as 2x + 3, hence option 3 is correct.
More can be learned about the domain of a function at https://brainly.com/question/10891721
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