(b) If f and g are continuous functions on [a, b] and f> S, g for every interval [a, B] < [a, b], show that f(x)> g(x) on [a, b].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
icon
Related questions
Question

 Iff and g are continuous functions on [a, b] and J!J~ J! g for every interval
[oc, /3] c [a, b], show that f(x) ~ g(x) on [a, b]. 

(b) If f and g are continuous functions on [a, b] and f > g for every interval
[a, B] c [a, b], show that f(x) > g(x) on [a, b].
Transcribed Image Text:(b) If f and g are continuous functions on [a, b] and f > g for every interval [a, B] c [a, b], show that f(x) > g(x) on [a, b].
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax