Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
The linearization of g(x) is g(x) = 2x - 9
The equation of a line is given as:
[tex]y - y_1 = m(x - x_1)[/tex]
The points given are:
g(4) = −1 and g ′(4) = 2
Note that the slope (m) is g ′(4) = 2
That is, m = 2
From the point g(4) = -1:
[tex]x_1=4, y_1=-1[/tex]
Substitute [tex]x_1=4, y_1=-1[/tex], and m = 2 into the equation [tex]y - y_1 = m(x - x_1)[/tex] for the linearization
y - (-1) = 2(x - 4)
y + 1 = 2x - 8
Subtract 1 from both sides
y + 1 - 1 = 2x - 8 - 1
y = 2x - 9
Therefore, the linearization of g(x) is g(x) = 2x - 9
Learn more on linearization here: https://brainly.com/question/19468438
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.
