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9. consider the function $y = \\frac{5}{x}$. 9b state the equation of t…

Question

  1. consider the function $y = \frac{5}{x}$. 9b state the equation of the vertical asymptote. 9c rearrange the equation to express $x$ in terms of $y$.

Explanation:

Step1: Multiply both sides by $x$

$y \cdot x = \frac{5}{x} \cdot x$
Simplifies to: $xy = 5$

Step2: Divide both sides by $y$

$\frac{xy}{y} = \frac{5}{y}$
Simplifies to: $x = \frac{5}{y}$

Answer:

$x=\frac{5}{y}$