Define a functionf that determines the resized photo's width (in inches), given the photo's original width, x (in inches). f(x)=   Define a function g that determines the cropped photo's width, g(n) (in inches), given the un-cropped width of the photo, n (in inches). g(n)=   What is the resized and cropped photo's width (in inches) if the original photo was 20 inches wide?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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  1. Define a functionf that determines the resized photo's width (in inches), given the photo's original width, x (in inches).

    f(x)=  

  2. Define a function g that determines the cropped photo's width, g(n) (in inches), given the un-cropped width of the photo, n (in inches).

    g(n)=  

  3. What is the resized and cropped photo's width (in inches) if the original photo was 20 inches wide?

     

 

Let's revisit the photo context, but this time we begin by resizing the photo by doubling the photo's width. We then crop (remove) 6 inches from
the photo's width.
a. Define a functionf that determines the resized photo's width (in inches), given the photo's original width, x (in inches).
f(æ)
|2х-6
Preview
b. Define a function g that determines the cropped photo's width, g(n) (in inches), given the un-cropped width of the photo, n (in inches).
g(n)
6.
Preview
c. What is the resized and cropped photo's width (in inches) if the original photo was 20 inches wide?
20-2(6)
* inches
Preview
d. Use fuction notation to represent the value in (c), the resized and cropped photo's width, given the photo's original width is 20 inches long.
(Your answer will look something like g(f(32)) or (f(g(19)).)
g(f(20))
Preview
e. Define a function g o f that combines the two processes (resizing followed by cropping) into one composite function.
g(f(x)) = w
Preview
Transcribed Image Text:Let's revisit the photo context, but this time we begin by resizing the photo by doubling the photo's width. We then crop (remove) 6 inches from the photo's width. a. Define a functionf that determines the resized photo's width (in inches), given the photo's original width, x (in inches). f(æ) |2х-6 Preview b. Define a function g that determines the cropped photo's width, g(n) (in inches), given the un-cropped width of the photo, n (in inches). g(n) 6. Preview c. What is the resized and cropped photo's width (in inches) if the original photo was 20 inches wide? 20-2(6) * inches Preview d. Use fuction notation to represent the value in (c), the resized and cropped photo's width, given the photo's original width is 20 inches long. (Your answer will look something like g(f(32)) or (f(g(19)).) g(f(20)) Preview e. Define a function g o f that combines the two processes (resizing followed by cropping) into one composite function. g(f(x)) = w Preview
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