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Q1. If g(4) = -9 for a function g(x), what can you say about g¬'(-9) ?

Q1. If g(4) = -9 for a function g(x), what can you say about g¬'(-9) ?

Calculus: Early Transcendentals
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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**Q1.** If \( g(4) = -9 \) for a function \( g(x) \), what can you say about \( g^{-1}(-9) \)? In this problem, we are given that the function \( g(x) \) maps the input \( 4 \) to the output \(-9\). The question asks about the inverse function \( g^{-1} \). The inverse function \( g^{-1} \) is defined such that it reverses the process of the original function \( g(x) \). This means that if \( g(a) = b \), then \( g^{-1}(b) = a \). Therefore, since \( g(4) = -9 \), it follows that \( g^{-1}(-9) = 4 \).
Transcribed Image Text:**Q1.** If \( g(4) = -9 \) for a function \( g(x) \), what can you say about \( g^{-1}(-9) \)? In this problem, we are given that the function \( g(x) \) maps the input \( 4 \) to the output \(-9\). The question asks about the inverse function \( g^{-1} \). The inverse function \( g^{-1} \) is defined such that it reverses the process of the original function \( g(x) \). This means that if \( g(a) = b \), then \( g^{-1}(b) = a \). Therefore, since \( g(4) = -9 \), it follows that \( g^{-1}(-9) = 4 \).
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