PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
8th Edition
ISBN: 9781337904285
Author: Larson
Publisher: CENGAGE L
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Concept explainers

Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Question
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Chapter 3.4, Problem 46E
To determine

To approximate: f(x)=g(x) using the graph,

  PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS), Chapter 3.4, Problem 46E , additional homework tip 1

Where f(x)=e−2x,g(x)=3 . And then to find the algebraic solution.

Expert Solution & Answer
Check Mark

Answer to Problem 46E

  x=−0.549  (Correct upto three decimal places)

Explanation of Solution

Given information :

Given two function f(x)=e−2x,g(x)=3 .

Graph:

  PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS), Chapter 3.4, Problem 46E , additional homework tip 2

The intersecting point in three decimal places is A=(-0.549,2.991) . Therefore the solution is x≈−0.549 (Correct upto three decimal places).

We get from,

  f(x)=g(x)⇒e−2x=3   (Taking log on both side)⇒log(e−2x)=log(3)⇒−2xlog(e)=log(3)⇒x=−log(3)2log(e)⇒x=−0.549  (Correct upto three decimal places)

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Chapter 3.4, Problem 45E
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Chapter 3.4, Problem 47E

Chapter 3 Solutions

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
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What is a Linear Equation in One Variable?; Author: Don't Memorise;https://www.youtube.com/watch?v=lDOYdBgtnjY;License: Standard YouTube License, CC-BY
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