Answer: [tex]f^{-1}(x)=\sqrt{x+49}[/tex]
Step-by-step explanation:
To find the inverse of a function, you want to switch the x with y and y with x. After that, you solve for y.
y=x²-49 [switch x with y and y with x]
x=y²-49 [add both sides by 49]
x+49=y² [square root both sides]
[tex]y=\sqrt{x+49}[/tex]
Now, we know that [tex]f^{-1}(x)=\sqrt{x+49}[/tex].