Given f of x is equal to the quantity x plus 6 end quantity divided by the quantity x squared minus 9x plus 18 end quantity, which of the following is true

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03-06-2022
Mathematics

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Given f of x is equal to the quantity x plus 6 end quantity divided by the quantity x squared minus 9x plus 18 end quantity, which of the following is true

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shubhamchouhanvrVT shubhamchouhanvrVT · Answer 1 · 2022-07-05T11:02:42+02:00

The correct answer is option D which is f(x) is decreasing for all the values of x < 3.

What is a function?

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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