3. Let f be the function defined by f(x) = x° + 2x + g(x) = f¯²(x), find gʻ(12). A. 1 В. 1/11 С. 1/9

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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3. Let \( f \) be the function defined by \( f(x) = x^9 + 2x + 9 \). The point (1,12) lies on the graph of \( f \). If \( g(x) = f^{-1}(x) \), find \( g'(12) \).

A. 1  
B. 1/11  
C. 1/9  
D. 9  
E. 11  
F. None of the above
Transcribed Image Text:3. Let \( f \) be the function defined by \( f(x) = x^9 + 2x + 9 \). The point (1,12) lies on the graph of \( f \). If \( g(x) = f^{-1}(x) \), find \( g'(12) \). A. 1 B. 1/11 C. 1/9 D. 9 E. 11 F. None of the above
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