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
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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.

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