Consider the following function. f(x) = 36e8x 12e4x + 6e -3x -6e +9eº 8x Find the horizontal asymptote(s) of f(x). (Enter your answers as a cor -2x + - -3x 24e

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...
icon
Related questions
Question
Q15
Consider the following function.
+ 12e4x
f(x) =
36e8x
+6e
C
8x
24e
-3x
-бе +9e
Find the horizontal asymptote(s) of f(x). (Enter your answers as a comr
Transcribed Image Text:Consider the following function. + 12e4x f(x) = 36e8x +6e C 8x 24e -3x -бе +9e Find the horizontal asymptote(s) of f(x). (Enter your answers as a comr
Expert Solution
Step 1: Define the problem

The given function is f open parentheses x close parentheses equals fraction numerator 36 e to the power of 8 x end exponent plus 12 e to the power of 4 x end exponent plus 6 e to the power of negative 2 x end exponent minus 24 e to the power of negative 3 x end exponent over denominator negative 6 e to the power of negative 3 x end exponent plus 9 e to the power of 8 x end exponent end fraction

steps

Step by step

Solved in 4 steps with 7 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
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: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning