Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.7 - Combinations of Functions; Composite Functions - Exercise Set - Page 260: 124


The value of y in the equation $x=\frac{5}{y}+4$ is $y=\frac{5}{x-4}$.

Work Step by Step

Solve for the value of y $x=\frac{5}{y}+4$ Subtracting $4$ from both sides of the equation $\begin{align} & x-4=\frac{5}{y}+4-4 \\ & x-4=\frac{5}{y} \\ \end{align}$ Reverse the numerator and the denominator of the above equation from both sides and get $\frac{1}{x-4}=\frac{y}{5}$ Multiply $5$ to both sides $\begin{align} & \frac{5}{x-4}=\frac{5y}{5} \\ & y=\frac{5}{x-4} \end{align}$ Hence, the value of y in the equation $x=\frac{5}{y}+4$ is $y=\frac{5}{x-4}$.
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