Question

the graph of a function passes through the point 3, 8. If a varies inversely as X, write a function relating X & Y.

Answer 1

$\begin{gathered} P(3,8) \\ f(x)=\frac{k}{x} \\ f(3)=8=\frac{k}{3} \\ 8=\frac{k}{3} \\ k=8\cdot3 \\ k=24 \\ f(x)=\frac{24}{x} \\ \text{The function is }f(x)=\frac{24}{x} \end{gathered}$