Answer:
[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]
Step-by-step explanation:
[tex]f(x)=x^2-16[/tex]
To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.
[tex]y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}[/tex]
Now, you can swap the variables again and write the function.
[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]
