The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph of f 4 3 2 1 04 -1 -2 -3 -48 x-values -6 -2 -4 g(x) values Limit values of g(x) x-2° 1 -2 0 4 ▼ 0 5 3 a. Use the graph of f and the table of g to determine 4 lim X-6 6 2 lim g(x)=5 lim g(x)=4 lim g(x)=2 lim g(x) = -2 6 2f(x)²-3 f(g(x)) 8 according to limit theorems.
The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph of f 4 3 2 1 04 -1 -2 -3 -48 x-values -6 -2 -4 g(x) values Limit values of g(x) x-2° 1 -2 0 4 ▼ 0 5 3 a. Use the graph of f and the table of g to determine 4 lim X-6 6 2 lim g(x)=5 lim g(x)=4 lim g(x)=2 lim g(x) = -2 6 2f(x)²-3 f(g(x)) 8 according to limit theorems.
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...
Related questions
Question
Solve it on the paper. Please use the limit rule below!!
The limit rule is lim(x->c) f(g(x)) = f( lim_(x->c) g(x)) so you take the limit as x approaches 6 of g(x) then you can take the function value of f at that number.
You need to break apart each thing. Look at the subtraction in the numerator. Then the first term in the numerator also has a constant in front so you bring the constant out front and the limit just goes with the f(x)
and then you also have a denominator so the limit can go with that as well, but that is a composition so you bring the limit inside the composition.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning