Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 10 - Radical Functions and Equations - 10.4 - Inverse of a Function - Monitoring Progress - Page 569: 4

Answer

$x=2y-6$ When the output is $4$, the input is $2$.

Work Step by Step

$y=\frac{1}{2}x+3$ Subtract $3$ from both sides of the equation to get $y-3=\frac{1}{2}x+3-3$ or $\frac{1}{2}x=y-3$ Multiplying by $2$ on both sides, we obtain $x=2y-6$ When $y=4$, $x=2(4)-6=2$. That is, when the output is $4$, the input is $2$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.