Suppose you have three functions f, g, h, in such a manner that the composition f ∘ g ∘ his defined. We are given h(1) = 2, g(1) = -3, g(2) = 0, f(0) = 4, f(1) = 5, f(-3) = 7, what is f ∘ g ∘ h ( 1 )equal to? Second part of the question is, can you think of two functions f and g such that f ∘ g = g ∘ f? Typically that's not true, but sometimes it is. Hint: don't think big. Small examples may suffice.
Suppose you have three functions f, g, h, in such a manner that the composition f ∘ g ∘ his defined. We are given h(1) = 2, g(1) = -3, g(2) = 0, f(0) = 4, f(1) = 5, f(-3) = 7, what is f ∘ g ∘ h ( 1 )equal to? Second part of the question is, can you think of two functions f and g such that f ∘ g = g ∘ f? Typically that's not true, but sometimes it is. Hint: don't think big. Small examples may suffice.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 55E
Related questions
Question
Suppose you have three functions f, g, h, in such a manner that the composition f ∘ g ∘ his defined. We are given h(1) = 2, g(1) = -3, g(2) = 0, f(0) = 4, f(1) = 5, f(-3) = 7, what is f ∘ g ∘ h ( 1 )equal to?
Second part of the question is, can you think of two functions f and g such that f ∘ g = g ∘ f? Typically that's not true, but sometimes it is. Hint: don't think big. Small examples may suffice.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt