Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
10th Edition
ISBN: 9781285464640
Author: Soo T. Tan
Publisher: Brooks Cole
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Chapter A, Problem 3E
To determine
To show: The function f and g are inverse of each other.
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Show that g(x) = x/(x-1) is equal to its inverse on the domain x-1 {x : x # l}.
Let f, g: R→R be defined byf (x) = {4x + 1 , if x ≥0, x , if x < 0}
g(x) = {3x , if x ≥0 , x + 3 , if x < 0.}
Find the inverse of f ◦g.
Let k(x)=f(x)g(x)h(x). If f(x)=−2x−3,g(x)=−3x+3, and h(x)=−3x2+x+1, what is k′(1)?
Chapter A Solutions
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
Show that f and g are inverse functions (a) analytically and (b) graphically
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State with proof whether f(x) = x^2 -1, x<or equal to 0 and g(x) = square root of x+1, x > or equal to -1 are inverse functions of each other.
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Construct a table of values for the function f(x)=x²-1 in the restricted domain {x|0≤x≤4}.Is f a one to one fuction?If yes, construction the table of values of the inverse
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Verify that f(x) = 1/x+3 and g(x) = 1-3x/x are inverse if each other by showing f(g(x)) = x AND g(f(x)) = x
b. Find the domain and range of f(x) and f-1(x)
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Show that f(x) = |5x| has no inverse function.
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Verify that f and g are inverse functions algebraically.
f(x) = x3 + 5, g(x) = ∛(x − 5)
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Inverse Functions; Author: Professor Dave Explains;https://www.youtube.com/watch?v=9fJsrnE1go0;License: Standard YouTube License, CC-BY