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If f be the function defined by f (x) = x³ + x. lf g (x) = f−¹ (x) and g (2) = 1, what is the value of g' (2)? O O O 1 13 1 4 4

If f be the function defined by f (x) = x³ + x. lf g (x) = f−¹ (x) and g (2) = 1, what is the value of g' (2)? O O O 1 13 1 4 4

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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**Problem Statement:** If \( f \) be the function defined by \( f(x) = x^3 + x \). If \( g(x) = f^{-1}(x) \) and \( g(2) = 1 \), what is the value of \( g'(2) \)? **Options:** - \( \frac{1}{13} \) - \( \frac{7}{4} \) - \( 4 \) - \( \frac{1}{4} \) (Correct answer indicated)
Transcribed Image Text:**Problem Statement:** If \( f \) be the function defined by \( f(x) = x^3 + x \). If \( g(x) = f^{-1}(x) \) and \( g(2) = 1 \), what is the value of \( g'(2) \)? **Options:** - \( \frac{1}{13} \) - \( \frac{7}{4} \) - \( 4 \) - \( \frac{1}{4} \) (Correct answer indicated)
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