The correct answer is option D which is f(x) is decreasing for all the values of x < 3.
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The value of the function [tex]f(x) = \dfrac{x+6}{x^2-9x+18}[/tex] is represented on the graph in the graph we can see that at x>6 the value of the function is decreasing and at x<3 the value of the function is increasing.
Therefore the correct answer is option D which is f(x) is decreasing for all the values of x < 3.
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