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17. Find the inverse of f(x) (x+2)2-6 for x 2 -2. Include a domain restriction if appropriate.

17. Find the inverse of f(x) (x+2)2-6 for x 2 -2. Include a domain restriction if appropriate.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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17. Find the inverse of f (x) (x+ 2)2-6 for x N-2. Include a domain restriction if appropriate. 18. Find the domain and range of g(x) = log2(x+3). 19. Find the domain and range of f(x) = 2e¬X +1 20. Is the function f (x) = 2x - 4x even, odd or neither? 21. If (-4,5) is located on the graph of f and g(x) = 3f(2x) – 1, what point is guaranteed to be on the graph of g(x)? 22. Let f (x) = Vx - 3. Find a formula for f-'(x) with the appropriate domain restriction for f-(x). 23. The population of a bacteria culture is modeled by the formula P = 2000e0.05t where t is measured in days. How many days will it take before the population reaches 1,000,000? Give your answer in exact form and approximated to the nearest day. 24. Rewrite this system of equationa as an augmented matrix. x -2y+3z= 7 2x+ y + z = 4 -3x+2y-2z=-10 Augmented Matrix: When row reduced, this matrix looks like this. 0. 2. 0 1 0 -1 A 0 1 1 What is the solution to the system? If there are infinite solutions, write the solutions as a set.
Transcribed Image Text:17. Find the inverse of f (x) (x+ 2)2-6 for x N-2. Include a domain restriction if appropriate. 18. Find the domain and range of g(x) = log2(x+3). 19. Find the domain and range of f(x) = 2e¬X +1 20. Is the function f (x) = 2x - 4x even, odd or neither? 21. If (-4,5) is located on the graph of f and g(x) = 3f(2x) – 1, what point is guaranteed to be on the graph of g(x)? 22. Let f (x) = Vx - 3. Find a formula for f-'(x) with the appropriate domain restriction for f-(x). 23. The population of a bacteria culture is modeled by the formula P = 2000e0.05t where t is measured in days. How many days will it take before the population reaches 1,000,000? Give your answer in exact form and approximated to the nearest day. 24. Rewrite this system of equationa as an augmented matrix. x -2y+3z= 7 2x+ y + z = 4 -3x+2y-2z=-10 Augmented Matrix: When row reduced, this matrix looks like this. 0. 2. 0 1 0 -1 A 0 1 1 What is the solution to the system? If there are infinite solutions, write the solutions as a set.
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