The one-to-one functions g and h are defined as follows. g={(-4, -2), (2, -4), (4, 2), (7, -6)} h(x) =2x-9 Find the following. 8 (2) = 0 O = (*), "

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The one-to-one functions \( g \) and \( h \) are defined as follows:

\[ g = \{ (-4, -2), (2, -4), (4, 2), (7, -6) \} \]

\[ h(x) = 2x - 9 \]

Find the following:

1. \( (h^{-1} \circ h)(2) = \) [Box]
2. \( h^{-1}(x) = \) [Box]
3. \( g^{-1}(2) = \) [Box]

Note: There are no graphs or diagrams present in this image. The tasks involve evaluating the functions and their inverses.
Transcribed Image Text:The one-to-one functions \( g \) and \( h \) are defined as follows: \[ g = \{ (-4, -2), (2, -4), (4, 2), (7, -6) \} \] \[ h(x) = 2x - 9 \] Find the following: 1. \( (h^{-1} \circ h)(2) = \) [Box] 2. \( h^{-1}(x) = \) [Box] 3. \( g^{-1}(2) = \) [Box] Note: There are no graphs or diagrams present in this image. The tasks involve evaluating the functions and their inverses.
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