Answer: [tex]y=\frac{4}{x}[/tex]
Step-by-step explanation:
To find the inverse function, you want to replace y with x and x with y, and then solve.
[tex]y=\frac{4}{x}[/tex] [replace y with x and x with y]
[tex]x=\frac{4}{y}[/tex] [multiply bith sides by y]
[tex]xy=4[/tex] [divide both sides by x]
[tex]y=\frac{4}{x}[/tex]
Now, we know the inverse is [tex]y=\frac{4}{x}[/tex].
