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1. A function that converts dress sizes in the United States to those in Europe is given by D = f(z) = 2x + 24 where z is the size in the United States. a. Find the European dress size that corresponds to a U.S. dress size of z- 14. D b. Find the function that converts European dress size to U.S. dress size. z=f(D) = c. Use part b. to find the U.S. dress size that corresponds to a Europen dress size 52.

1. A function that converts dress sizes in the United States to those in Europe is given by D = f(z) = 2x + 24 where z is the size in the United States. a. Find the European dress size that corresponds to a U.S. dress size of z- 14. D b. Find the function that converts European dress size to U.S. dress size. z=f(D) = c. Use part b. to find the U.S. dress size that corresponds to a Europen dress size 52.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.2: Linear Functions And Applications
Problem 31PS
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1. A function that converts dress sizes in the United States to those in Europe is given by D = f(x) = 2x + 24 where æ is the size in the United States. a. Find the European dress size that corresponds to a U.S. dress size of x - 14. D = b. Find the function that converts European dress size to U.S. dress size. a = f-'(D) = c. Use part b. to find the U.S. dress size that corresponds to a Europen dress size 52. 2. Determine if the function is even, odd, or neither. -4 -10 -16 16 10 4 f(x) 12 17 -7 7 -17 -12 3. Draw the graph of g(x) = f(x + 1) below. After finishing the graph, click outside the grid to stop drawing. The graph of y = f(x) is shown below. 8 -8 -7 -6 -5 3 -2 -1, 8 -7 -6 -5 -4 -3 -2 1, -2 -2 -4 -6 -7 Clear All Draw: Polygon 4. Let f(x) 1 and g(x) 2 + 5. с — Find the domain of the composition f(g(x). The domain of f(g(x)) is all real numbers except x = Enter answers separated by commas.
Transcribed Image Text:1. A function that converts dress sizes in the United States to those in Europe is given by D = f(x) = 2x + 24 where æ is the size in the United States. a. Find the European dress size that corresponds to a U.S. dress size of x - 14. D = b. Find the function that converts European dress size to U.S. dress size. a = f-'(D) = c. Use part b. to find the U.S. dress size that corresponds to a Europen dress size 52. 2. Determine if the function is even, odd, or neither. -4 -10 -16 16 10 4 f(x) 12 17 -7 7 -17 -12 3. Draw the graph of g(x) = f(x + 1) below. After finishing the graph, click outside the grid to stop drawing. The graph of y = f(x) is shown below. 8 -8 -7 -6 -5 3 -2 -1, 8 -7 -6 -5 -4 -3 -2 1, -2 -2 -4 -6 -7 Clear All Draw: Polygon 4. Let f(x) 1 and g(x) 2 + 5. с — Find the domain of the composition f(g(x). The domain of f(g(x)) is all real numbers except x = Enter answers separated by commas.
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