O GRAPHS AND FUNCTIONS Inverse functions: Linear, discrete The one-to-one functions g and h are defined as follows. x+8 g (x) = 5 %D h= {(-9, 1), (-5, 3), (-4, 8), (3, 7)} Find the following. 8"(6) = 0 %3D %D g °g h (s) = 0 %3D II
O GRAPHS AND FUNCTIONS Inverse functions: Linear, discrete The one-to-one functions g and h are defined as follows. x+8 g (x) = 5 %D h= {(-9, 1), (-5, 3), (-4, 8), (3, 7)} Find the following. 8"(6) = 0 %3D %D g °g h (s) = 0 %3D II
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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![**Inverse Functions: Linear, Discrete**
The *one-to-one functions* \( g \) and \( h \) are defined as follows:
\[ g(x) = \frac{x+8}{5} \]
\[ h = \{(-9, 1), (-5, 3), (-4, 8), (3, 7)\} \]
**Find the Following:**
1. \( g^{-1}(x) = \) [Text Box]
2. \( \left( g \circ g^{-1} \right)(3) = \) [Text Box]
3. \( h^{-1}(3) = \) [Text Box]
**Explanation:**
The problem involves finding inverse functions for given linear and discrete sets. You are tasked with determining:
- The inverse of the function \( g(x) \).
- The composition of the function \( g \) with its inverse, evaluated at 3.
- The inverse of the function \( h \) for the input 3, based on its defined set of pairs.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F379782e3-36e2-4b06-9a33-e2601af30423%2F19bc4ce2-1b2e-4dd5-9c3a-bd69bc4d4d39%2F1vrrwwe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Inverse Functions: Linear, Discrete**
The *one-to-one functions* \( g \) and \( h \) are defined as follows:
\[ g(x) = \frac{x+8}{5} \]
\[ h = \{(-9, 1), (-5, 3), (-4, 8), (3, 7)\} \]
**Find the Following:**
1. \( g^{-1}(x) = \) [Text Box]
2. \( \left( g \circ g^{-1} \right)(3) = \) [Text Box]
3. \( h^{-1}(3) = \) [Text Box]
**Explanation:**
The problem involves finding inverse functions for given linear and discrete sets. You are tasked with determining:
- The inverse of the function \( g(x) \).
- The composition of the function \( g \) with its inverse, evaluated at 3.
- The inverse of the function \( h \) for the input 3, based on its defined set of pairs.
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