The function r(x) = –0.000345(x – 50)2 + 2.1 can be used to model the curve of a road designed to allow for water to run off in rainstorms depending on the distance from the shoulder of the road, x, in feet. A European firm studying these curves is going to convert feet to meters using the function m(x) = 0.3048x. Which composition can be used to model the curve of the road in terms of meters? m(r(x)) = –0.000105156(x – 50)2 + 2.1 m(r(x)) = –0.000105156(x – 50)2 + 0.64008 m(r(x)) = –0.000345(0.3048x – 50)2 + 2.1 m(r(x)) = –0.000345(0.3048x – 50)2 + 0.64008

Step-by-step explanation:

Composite Function

The composition of functions f(x) and g(x) is denoted as and can be obtained by the expression

In practice, it means to replace into each x of f, the whole expression for g.

We know the function

can be used to model some reality, being x in feet. We also know that another function

is going to be used to convert feet to meters. We are required to find

We'll replace the expression for r into m as:

Operating

think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered