A scale factor is a number which scales, or multiplies, some quantity. The ratio of
any two corresponding lengths in two similar geometric figures is also
called a scale factor.
Given a function
[tex]f(x)=\frac{3}{x}[/tex]
which is formed from the parent function
[tex]f(x)=\frac{1}{x}[/tex]
The function
[tex]f(x)=\frac{3}{x}[/tex]
was obtained from the parent function by multiplying the parent function by 3.
Therefore, the scale factor of the function [tex]f(x)=\frac{3}{x}[/tex] is 3.