Answer:
The graph of the inverse of function would be same.
Step-by-step explanation:
We have been given graph of function [tex]y=\frac{1}{x}[/tex]. We are asked to graph the inverse of our given function.
To find the inverse of a function, we will interchange the x and y variables and solve for y.
Upon interchanging variables, we will get:
[tex]x=\frac{1}{y}[/tex]
Upon multiplying both sides of our equation by y, we will get:
[tex]x*y=\frac{1}{y}*y[/tex]
[tex]x*y=1[/tex]
Now, we will divide both sides of our equation by x as:
[tex]\frac{x*y}{x}=\frac{1}{x}[/tex]
[tex]y=\frac{1}{x}[/tex]
Since the inverse of our given function is same as function [tex]y=\frac{1}{x}[/tex], therefore, the graph of the inverse of function would be same.
