Answer: The function's output value will get multiplied by 3
Step-by-step explanation:
Two variables x (input value) and y (output value) are said to be in inverse variation if [tex]xy=k[/tex] for some constant k.
The equation for inverse variation can be written in the form :-
[tex]y=\frac{k}{x}[/tex], where k is a constant.
When the function's input value is divided by 3, then the new input value would be
[tex]x_1=\frac{x}{3}[/tex]
Now, the equation to find the new output value corresponding to new input value would be
[tex]y_1=\frac{k}{x_1}\\\Rightarrow y_1=\frac{k}{\frac{x}{3}}\\\\\Rightarrow y_1=3(\frac{k}{x})\\\\\Rightarrow y_1=3y[/tex]
Hence, When the function's input value is divided by 3, then the function's output value will get multiplied by 3.
