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

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
icon
Related questions
Question

Show work.

Let g(x) = f(e³x) and suppose the tangent line to ƒ 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
Transcribed Image Text:Let g(x) = f(e³x) and suppose the tangent line to ƒ 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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 7 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning