Exercise 3: Let: ax + b f(x) = cx + d' (a) Under what conditions on a,b, c, d e R is ƒ injective? find f-1. case, (b) In this Hint: Despite the fact it does not make logical sense, it is easier to do (b) first. I guess you should try to solve for the inverse, and then note what assumptions you make along the way.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
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Exercise 3: Let:
ax + b
f(x) =
cx + d'
(a) Under what conditions on a,b, c, d e R is ƒ injective?
find f-1.
case,
(b) In this
Hint: Despite the fact it does not make logical sense, it is easier to do (b) first. I guess you should
try to solve for the inverse, and then note what assumptions you make along the way.
Transcribed Image Text:Exercise 3: Let: ax + b f(x) = cx + d' (a) Under what conditions on a,b, c, d e R is ƒ injective? find f-1. case, (b) In this Hint: Despite the fact it does not make logical sense, it is easier to do (b) first. I guess you should try to solve for the inverse, and then note what assumptions you make along the way.
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