Consider the following function. 40 + 6e¯X + 9e2x + 30e-3x 8 + 2e + 6e-³x Find the horizontal asymptote(s) of f(x). (Enter your an f(x) =

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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Q16
Consider the following function.
40 + 6e¯X + 9e2x + 30e−3x
8 + 2e¯X + 6e
Find the horizontal asymptote(s) of f(x). (Enter your answer.
f(x)
5
=
-3x
Transcribed Image Text:Consider the following function. 40 + 6e¯X + 9e2x + 30e−3x 8 + 2e¯X + 6e Find the horizontal asymptote(s) of f(x). (Enter your answer. f(x) 5 = -3x
Expert Solution
Step 1: Define the problem

The given function is f open parentheses x close parentheses equals fraction numerator 40 plus 6 e to the power of negative x end exponent plus 9 e to the power of 2 x end exponent plus 30 e to the power of negative 3 x end exponent over denominator 8 plus 2 e to the power of negative x end exponent plus 6 e to the power of negative 3 x end exponent end fraction

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