12.1k views
0 votes
Let f(x) = x^2 - 16. Find f^-1(x)

User Motomine
by
8.8k points

2 Answers

3 votes


For\ x\geq0


f(x)=x^2-16\\\\f^(-1)(x)=?\\\\y=x^2-16\to x=y^2-16\ \ \ \ |+16\\\\x+16=y^2\\\\y^2=x+16\to y=√(x+16)\ for\ x\geq-16

User Asma
by
8.6k points
6 votes

The function is not injective, therefore the inverse doesn't exist.

User Quentin Engles
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories