Let L = f(h) be the amount of water (in liters) a species of tree needs per week when it is h meters tall. Let g(t) be the height of a tree of this species t years after 2009. Assume that f and g are invertible. For these parts, give your answer in terms of the functions f, g, f −1 , and/or g −1 . (a) How much water did this tree need in 2013? (b) How tall is a tree that needs 55 L per week? (c) In what year did this tree need 40 L per week? (d) When was this tree 9 m tall?
Let L = f(h) be the amount of water (in liters) a species of tree needs per week when it is h meters tall. Let g(t) be the height of a tree of this species t years after 2009. Assume that f and g are invertible. For these parts, give your answer in terms of the functions f, g, f −1 , and/or g −1 . (a) How much water did this tree need in 2013? (b) How tall is a tree that needs 55 L per week? (c) In what year did this tree need 40 L per week? (d) When was this tree 9 m tall?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 4E
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Let L = f(h) be the amount of water (in liters) a species of tree needs per week when it is h meters tall.
Let g(t) be the height of a tree of this species t years after 2009. Assume that f and g are invertible.
For these parts, give your answer in terms of the functions f, g, f −1
, and/or g
−1
.
(a) How much water did this tree need in 2013?
(b) How tall is a tree that needs 55 L per week?
(c) In what year did this tree need 40 L per week?
(d) When was this tree 9 m tall?
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