96.6k views
4 votes
Let f(x) = x2 − 16. Find f−1(x).

User JKHA
by
6.2k points

1 Answer

5 votes
I'm reading that as the inverse function of x.  x^2 - 16 if you subtract 16, from x^2 ,  then you have to add 16 to get back to x^2 (from which you would then do the subtraction to complete f(x), let us call f(x) y, then if we have  y + 16 then we take the square root to get back to original x  _________________|/  y` + 16 so x =9 f(x) == 81 -16 ==65 :: y=65y = 65: add 16, get 81, take the s root, that is 9, the original input ta da :)
User Lou Zell
by
5.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.