Consider (the rule) f(x) = 2x+3 from real numbers to real numbers. Is this a function? Is this a bijection? Is f-¹ a fuction? Write f-¹ as a rule f-¹(x) = ....

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 25E
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can you please help with 4 and 5

(4) Consider (the rule) f(x) = 2x+3 from real numbers to real numbers.
Is this a function? Is this a bijection? Is f-la fuction? Write f-¹ as
a rule f-¹(x) = ....
(5) Within real numbers, let A = {2:0 < x < 1} and B = {r: 0<x<
∞}. Define f: A → B by f(x) = Show that f is a bijection.
Transcribed Image Text:(4) Consider (the rule) f(x) = 2x+3 from real numbers to real numbers. Is this a function? Is this a bijection? Is f-la fuction? Write f-¹ as a rule f-¹(x) = .... (5) Within real numbers, let A = {2:0 < x < 1} and B = {r: 0<x< ∞}. Define f: A → B by f(x) = Show that f is a bijection.
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