Suppose you want to crop (remove) 3 inches from the width of a photo. After you have cropped (reduced) the width of the photo by 3 inches, you resize the photo by making it 60% of its cropped size. a. If x is the original width of the photo and the function f determines cropped width of the photo (in inches) in terms of x, write a formula to define f. Preview b. If n represents the width (in inches) of the cropped photo, define a function g to determine the width (in inches) of the resized photo in terms of n.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 53E
icon
Related questions
Question
Suppose you want to crop (remove) 3 inches from the
width of a photo. After you have cropped (reduced) the
width of the photo by 3 inches, you resize the photo by
making it 60% of its cropped size.
a. If x is the original width of the photo and the
function f determines cropped width of the
photo (in inches) in terms of x, write a formula
to define f.
Preview
b. If n represents the width (in inches) of the
cropped photo, define a function g to determine
the width (in inches) of the resized photo in
terms of n.
Preview
c. What is the final cropped and resized photo
width if the original photo was 14 inches wide?
inches
Preview
d. Represent the value in (c), that is, the final
cropped and resized photo width for a photo that
was originally 14 inches wide, using function
notation? (Your answer will look something like
g(f(32)) or (f(g(19)).)
Preview
e. Complete the function definition for g o f that
combines the two processes (cropping followed
by resizing) into a composite function.
g(f(x)) =
Preview
Transcribed Image Text:Suppose you want to crop (remove) 3 inches from the width of a photo. After you have cropped (reduced) the width of the photo by 3 inches, you resize the photo by making it 60% of its cropped size. a. If x is the original width of the photo and the function f determines cropped width of the photo (in inches) in terms of x, write a formula to define f. Preview b. If n represents the width (in inches) of the cropped photo, define a function g to determine the width (in inches) of the resized photo in terms of n. Preview c. What is the final cropped and resized photo width if the original photo was 14 inches wide? inches Preview d. Represent the value in (c), that is, the final cropped and resized photo width for a photo that was originally 14 inches wide, using function notation? (Your answer will look something like g(f(32)) or (f(g(19)).) Preview e. Complete the function definition for g o f that combines the two processes (cropping followed by resizing) into a composite function. g(f(x)) = Preview
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 8 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell