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)?

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.1: Rectangular Coordinate System And Linear Equations
Problem 59PS: Now lets use a graphing calculator to get a graph of C=59(F32). By letting F=x and C=y, we obtain...
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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-1(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 equations as an augmented matrix.
x-2y+3z= 7
2x+ y +z = 4
(-3x+2y-2z%3D-10
Augmented Matrix:
When row reduced, this matrix looks like this.
1 0 0
2
1
1
What is the solution to the system? If there are infinite solutions, write the solutions as a set.
10
Transcribed Image Text: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-1(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 equations as an augmented matrix. x-2y+3z= 7 2x+ y +z = 4 (-3x+2y-2z%3D-10 Augmented Matrix: When row reduced, this matrix looks like this. 1 0 0 2 1 1 What is the solution to the system? If there are infinite solutions, write the solutions as a set. 10
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