The velocity V (in centimeters per second) of blood in an artery at a distance x cm from the center of the artery can be modeled by the function V = f(x) = 500(0.04 – x²) for 0 ≤ x ≤ 0.2. a. Find a formula for the inverse function: x = f ¹(V) = b. Write the domain for the inverse function in interval notation. c. Interpret what the inverse function is used for. The inverse function determines the velocity of the blood given the distance from the center of the artery. The inverse function determines the distance from the center of the artery given the velocity of the blood. d. Find the distance from the center of an artery with a velocity of 8 cm/sec (round to 2 decimal places). cm
The velocity V (in centimeters per second) of blood in an artery at a distance x cm from the center of the artery can be modeled by the function V = f(x) = 500(0.04 – x²) for 0 ≤ x ≤ 0.2. a. Find a formula for the inverse function: x = f ¹(V) = b. Write the domain for the inverse function in interval notation. c. Interpret what the inverse function is used for. The inverse function determines the velocity of the blood given the distance from the center of the artery. The inverse function determines the distance from the center of the artery given the velocity of the blood. d. Find the distance from the center of an artery with a velocity of 8 cm/sec (round to 2 decimal places). cm
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 15CT
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Question
![The velocity V (in centimeters per second) of blood in an artery at a distance a cm from the center of the
artery can be modeled by the function V = f(x) = 500 (0.04 - x²) for 0 < x < 0.2.
a. Find a formula for the inverse function:
x = f ¹(V) = |
b. Write the domain for the inverse function in interval notation.
c. Interpret what the inverse function is used for.
The inverse function determines the velocity of the blood given the distance from the center of the
artery.
O The inverse function determines the distance from the center of the artery given the velocity of the
blood.
d. Find the distance from the center of an artery with a
velocity of 8 cm/sec (round to 2 decimal places).
cm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9de62490-29a1-4126-ad53-0c4c5fc3af72%2F6f60105b-45ce-4a5b-911e-b7bf9bf7c7ad%2F8icw61_processed.png&w=3840&q=75)
Transcribed Image Text:The velocity V (in centimeters per second) of blood in an artery at a distance a cm from the center of the
artery can be modeled by the function V = f(x) = 500 (0.04 - x²) for 0 < x < 0.2.
a. Find a formula for the inverse function:
x = f ¹(V) = |
b. Write the domain for the inverse function in interval notation.
c. Interpret what the inverse function is used for.
The inverse function determines the velocity of the blood given the distance from the center of the
artery.
O The inverse function determines the distance from the center of the artery given the velocity of the
blood.
d. Find the distance from the center of an artery with a
velocity of 8 cm/sec (round to 2 decimal places).
cm
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