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Let g(x) = f(e³x) and suppose the tangent line to f at x = 1 is y = 5 - 2x. Find the tangent line to the graph of g at x = 0. [C] y = 2x + 3 [A] y = 2x - 4 [D] y = -6x - 4 [B] y = −6x +3 [E] y=-3x - 4

Let g(x) = f(e³x) and suppose the tangent line to f at x = 1 is y = 5 - 2x. Find the tangent line to the graph of g at x = 0. [C] y = 2x + 3 [A] y = 2x - 4 [D] y = -6x - 4 [B] y = −6x +3 [E] y=-3x - 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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Let \( g(x) = f(e^{3x}) \) and suppose the tangent line to \( f \) at \( x = 1 \) is \( y = 5 - 2x \). Find the tangent line to the graph of \( g \) at \( x = 0 \). \[ [A] \quad y = 2x - 4 \] \[ [B] \quad y = -6x + 3 \] \[ [C] \quad y = 2x + 3 \] \[ [D] \quad y = -6x - 4 \] \[ [E] \quad y = -3x - 4 \]
Transcribed Image Text:Let \( g(x) = f(e^{3x}) \) and suppose the tangent line to \( f \) at \( x = 1 \) is \( y = 5 - 2x \). Find the tangent line to the graph of \( g \) at \( x = 0 \). \[ [A] \quad y = 2x - 4 \] \[ [B] \quad y = -6x + 3 \] \[ [C] \quad y = 2x + 3 \] \[ [D] \quad y = -6x - 4 \] \[ [E] \quad y = -3x - 4 \]
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