Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.2 - Functions - 2.2 Exercises - Page 183: 37



Work Step by Step

$f(x)=\frac{3x-4}{5}$ Since we are solving for all the real values of $x$ when $f(x) = 0$, set the function $f(x)=\frac{3x-4}{5}$ equal to zero and we get the following equation: $\frac{3x-4}{5}=0$ First multipy both sides by 5 to simplify the denominator. $\frac{3x-4}{5}(5)=0(5)$ $3x-4=0$ Now add 4 from both sides of the equation so that all of the constants are on the right side of the equation and all of the $x$ terms are on the left side. $3x-4+4=0+4$ $3x=4$ Once all of the constants are on the right and all the $x$ terms are on the left, solve for $x$ by dividing both sides by $3$. $\frac{3x}{3}=\frac{4}{3}$ $x=\frac{4}{3}$
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