The function is (f ÷ g) (x) is given as [tex](3.6)^{-2x + 1}[/tex]. Then the correct option is A.
What is a function?
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The functions are given as
[tex]\rm f(x) = (3.6)^{x + 2}\\\\\\g(x) = (3.6)^{3x + 1}[/tex]
The f(x) is divided by the g(x), we have
[tex]\rm (f \div g ) (x) = \dfrac{f(x)}{g(x)} = \dfrac{(3.6)^{x + 2}}{(3.6)^{3x + 1}}\\\\\\(f \div g ) (x) = (3.6)^{x + 2}*(3.6)^{-(3x + 1)}\\\\\\(f \div g ) (x) = (3.6)^{x + 2- 3x - 1}\\\\\\(f \div g ) (x) = (3.6)^{-2x + 1}[/tex]
More about the function link is given below.
https://brainly.com/question/5245372
