Answered: ) Cx) = 2x+3 3x-2 = 2X+3 4X 4x =0 G…

Math

Calculus

) Cx) = 2x+3 3x-2 = 2X+3 4X 4x =0 G 3x/2 4x メ=-H

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.3: Algebraic Expressions

Problem 40E

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Question

I am given f(x)=2x+3/3x-2 and g(x)=4x/3x-2. My problem is (f/g)(x) so I set it up as 2x+3/3x-2 * 3x-2/4x becasue I multiply by the reciprocal. The 3x-2 cancels out and I am left with 2x+3/4x. To find the domain I set 4x=0 and got x cannot equal -4, but the solution states the answer is x=0 or 2/3, how is this possible?